Question

The length of a rectangle is twice its breadth. If the area of the rectangle 520cm. Find the length and breadth of the rectangle.

Answer 1

Given:area of rectangle=520cm²
To Find :L=?,B=?
Solution:L=length of rectangle
B=Breadth of rectangle
L=2B
area of rectangle =L×B
520 = 2B²
B=√260
B=16.124cm
L=2×16.124
=32.249cm
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Answer 2

Given,

The length of a rectangle is twice its breadth.

The area of the rectangle is 520 c$m^{2}$.

To Find,

The length and breadth of the rectangle.

Solution,

The breadth of a rectangle is x cm.

The length of the rectangle is 2x cm.

So the area of a rectangle is 2x×x=$2x^{2}$.

So we can say, 2$x^{2}$=520.

⇒$x^{2}$=260.

⇒x=$\sqrt{260}$=16.12 .

So The breadth of a rectangle is 16.12 cm. (Approx)

∴The length of the rectangle is 2×16.12 cm = 32.24 cm.

Hence, the length and breadth of the rectangle are 16.12 cm and 32.24cm.