Question

find the area of a rectangular plot one side of which is 20 m and its diagonal is 25 m

Answer 1

Answer:

375 m²

Step-by-step explanation:

Side of rectangle = 20 m

Diagonal = 25 m

By Pythagoras theorem,

Let another side be x

∴ 25²  = 20² + x²

∴25²- 20² = x²

∴ 625- 400 x²

∴ 225 = x²

∴ x = √225

∴x = 15

∴ Another side of the rectangle is 15 m .

We know that breadth of rectangle is smaller than its length .

∴ length = 25 m & breadth = 15 m

now ,

area of rectangle = length * breadth

∴ area of rectangle = 25 × 15

∴ Area of rectangle = 375 m²