Question

The length and the breadth of a rectangle are in the ratio 2:1, and ots area is 4050 sq.m. Find the diagonal of the rectangle?

Answer 1

Answer:

$45\sqrt{5} \:m$

Step-by-step explanation:

Concept:

Area of rectangle = Length x Breadth

Area of rectangle = l x b

The relation between length, breadth and diagonal of rectangle is

d² = l² + b²

Given:

Length : Breadth = 2 : 1

Then,

Length = 2k

Breadth = k

Also,

Area of the rectangle = 4050 sq. m

(2k)(k) = 4050

2k² = 4050

k² = 2025

k =$\sqrt{2025}$

k = 45

Length (l)= 90 m

Breadth (b)= 45 m

Now,

d² = l² + b²

d² = (90)² + (45)²

d² = (2x45)² + (45)²

d² = 4(45)² + (45)²

d² = 5(45)²

d = $45\sqrt{5} m$