Question

A rectangle's length is 4 times its breadth it has an area of 2500 square yards what is the length of the rectangle

Answer 1

let the length of the rectangle=4x
let the breadth of the rectangle=x
area of rectangle=2 (l+b)
=2 (4x+x)=10x
2500=10x
x=2500/10
x=250
length=4x=4×250
=1000

please mark it brainliest please please....

Answer 2

Answer:

Given: A rectangle's length is 4 times its breadth it has an area of 2500 square yards

Area of rectangle is defined as multiply the length with the breadth.

i.e $A =l \times b$ where l is the length and b is the breadth of rectangle respectively.

As per the given condition;

Length(l) = 4 breadth(b) and Area of rectangle(A) = 2500 square yards

then,

$A = (4b) \times b$ or

$2500 = 4b^2$

Simplify:

$b^2=625$

⇒$b=\sqrt{625} = 25 yards$

Length(l) =$4 \times 25 = 100 yards$

therefore, the length of rectangle is 100 yards.