Assuming the figures are rectangle, Here, Shaded region is the area of pathway. Width of the Pathway(d) = 2 cm. Length of the rectangle(L) = 12 + 2 * 2 = 16 cm. Breadth of the rectangle(B) = 5 + 2*2 = 9 cm. Here,  Area = 2d*( l + b - 2d) = .....

Here, the area of the shaded region is the area of cross way in between the rectangle. Here, Width of the pathway(d) = 4 cm. Length (L) = 18 cm. Breadth(B) = 16 cm. Therefore,   Area of crossing paths =d(l+ b- d) = 4 * (18 + 16 - .....

or, 3x > 9 + 3  [Adding 3 on both sides] or, 3x > 12 or, x > 4 [Dividing by three on both .....

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Please specify the RHS to be proven so that we can help you with .....

Here, The given equation is: x2 - 3xy - 4y2 = 0 Comparing the equation with ax2 + 2hxy + by2 = 0, We get, a = 1 h = -3/2 b = -4. We know,  If  'Θ' be the angle between the pair of lines, tanΘ =  .....

Let the three numbers in the geometric sequence be a/r , a and ar. From given condition, Product = 64. or,  a/r * a * ar = 64 or, a3 = 64 Therefore, a = 4. Also, given a/r + a + ar = 14 or, 4/r + 4 + 4r = 14 or, 4 + 4r + 4r2 = .....

Here, 4/5th of  the pole is inside water. Therefore, the part above water = 1 - 4/5 = 1/5. Let the length of pole be x. So, 1/5th x = 30. or, x = 150. So, the length of pole below water = 4/5 * 150 = .....

Rusting is a process in which iron reacts with water and oxygen to develop a layer in the iron. Moist air contains water and oxygen. When iron piece is exposed in moist air, the iron reacts and hence, forms a layer of .....

SAY NO TO CORRUPTION FIGHT AGAINST SOCIAL DISCRIMINATION STOP UNTOUCHABILITY SAY NO TO DRUG AND LIVE A HAPPY .....

Population, environment and development have a very close relationship with each other. The use of natural .....

Now the price that should pay by customer after 13% VAT levied.                                                     .....

Four fuels which provides heat energy when burnt are: woods, coal, petrol, .....

There are many factors which changes the speed of sound. Such as  Temperature Humidity  Nature of .....

Vibration is the periodic back-and-forth motion of the particles of an elastic body or medium. Initially, the bob of pendulum is at position B. This position is called mean position. When the bob is displaced by applying certain force, it starts .....

Here, length of the ground (l) = 12 cm.           Breadth of the ground (b) = 8 cm. Since ground is rectangular,                     Perimeter of the ground (P) = 2(l + .....

It occurs with the original sound mixed with the reflected sound. For this the distance between the source and the reflector should be less than 17 m and  There should not be any sound absorbing .....

After the full moon, the light continually decreases. So the waning gibbous phase occurs next. Following the third/last quarter is the waning crescent, which wanes (disappears its visible part) until the light is completely .....

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The food we eat is converted into energy by burning, that helps in producing heat .....

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Look at the above figure. The amplitude  is defined as the maximum value of the wave at its peak above zero, or the height of the wave.   

Frequency describes the number of waves that pass a fixed place in a given amount of .....

Look at the following: If the verb can be followed by direct objecta direct object answers the question who or what after the verb) it can be made passive.  This cannot be transformed to the passive since there is no direct object to become .....

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All environmental conservation benefits humankind. For example, preserving the ozone layer reduces the amount of ultraviolet radiation that reaches the surface. Otherwise,ultraviolet radiation contributes to rapid aging and .....

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The services provided by the Municipality are as follows: - To prepare annual budgets, plans and programmes of the Municipality. - To prepare housing plan in the area of Municipality. - To preserve rivers, streams, ponds, etc. and .....

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Prathama, Could you please be a bit specific to your .....

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Have you ever speak any words infront of a hill? You can hear the sound which is reflected through the cliff. It is an echo. Echo is the repetition of sound due to the reflection from a surface such as cliffs, hills, walls , etc  The .....

Compression refers to the region of a longitudinal wave where the particles are closest to each other. While rarefaction refers to the region of a longitudinal wave where the particles are farthest apart from each .....

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Touch a cup of hot tea. What do you feel? Yes, you feel hot.    Now, touch an ice cube.  What do you feel?  Yes, you feel cold.  We feel things as hot or cold.  When we feel things, we are feeling their .....

 Speed of sound in water is 1,484 m/s in water. (4.3 times as fast as in air; sound travels at 343 m/s in .....

Have you ever speak any words infront of a hill? You can hear the sound which is reflected through the cliff. It is an echo. Echo is the repetition of sound due to the reflection from a surface such as cliffs, hills, walls , .....

You know hydrogen gas is highly combustible. When a burning match stick is held near the mouth of gas jar containing hydrogen gas, the gas burns with  blue flame and a pop sound is .....

Hydrogen gas can be prepared in lab by the following ways  1. By the action of dilute H2SO4 or HCl on metals. 2Al + 3H2SO4→ Al2(SO4)3 + 3H2 Fe + H2SO4→FeSO4 + H2. 2. By the action of caustic alkalis on metals Zn + .....

Hydrogen gas can be prepared in lab, By treating granulated zinc pieces with dilute H2SO4 or dilute HCl. Zn + H2SO4 → ZnSO4 + H2 or, Zn + 2HCl →ZnCl2 + .....

We all know earth revolve around the sun in an elliptical orbit. It takes about 365 days and 6 hours to complete one revolution. Here, 6 hour is added in every year and  6 x 4 = 24 hours = a day. So, after every 4 years there comes a year .....