Learn and practice Problems on area with easy explaination and shortcut tricks. All questions and answers on area covered for various Competitive Exams

Solve Problems:

1) What is the area of a triangle with base 5 meters and height 10 meters?

Let the sides are 10x, 24x, and 26x. The perimeter is 300 m. So, 10x + 24x + 26x = 300 60x = 300 x= 5

So, the sides are 10 *5 = 50 meters 24 * 5 = 100 meters 26 * 5 = 130 meters 10^{2} + 24^{2} = 26^{2} so, it is a right triangle. 100 + 576 = 676

The area of a right triangle is = 1/2 * base * height = 1/2 * 50 * 100 = 2500 m^{2}

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4) The ratio of length and breadth of a rectangular park is 4:2. If a cat running along the boundary of the park at the speed of 18 km/hr completes one round in 10 minutes, find the area of the park in square meters.

Let the length of the rectangle be 5x, and breadth be 3x, Perimeter of a rectangle = 2(l +b) = 480 2(5x + 3x) = 480 2 x 8x = 480 16x = 480 x = 480/16 = 30

∴ Length = 5 x 30 = 150 m Breadth = 3 x 30 = 90 m

And, Area of rectangle = L x B = 150 x 90 = 13500 m^{2}

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6) If the perimeter of a square is 24 cm, one of the sides of the square is

8) The area of a rectangle and square are equal. The side of the square is 5 cm and the smaller side of the rectangle is half that of the square. The length of the other side of the rectangle would be

Let the length of the rectangle be x and breadth be y

Then, Area = L x B = xy New length =

10) The ratio between the breadth and perimeter of a rectangle is 2:10. If the area of the rectangle is 428 sq. cm, what is the length of the rectangle?