Question

EXERCISE 9.1 1. The length of a diagonal of a quadrilateral is 28 cm. The lengths of perpendiculars on it from the opposite vertices are 9 cm and 13 cm. Find the area of the quadrilateral. ​

Answer 1

234

Explanation:

In your question,

the triangle formed is a right triangle, and a quadrilateral with a right angle is always a rectangle.

And the diagonal of a rectangle divides the rectangle in two equal parts. So, first you need to find the area of the right triangle and multiply it by 2 to find the area of the rectangle.

Here,

perpendicular (p)= 9 cm

base (B)= 13 cm

We have,

Area = 9 cm×13 cm = 117cm^2

Area of rectangle= Area × 2 =117 cm^2 × 2 = 234 cm^2