Question

The ratio of length to breadth of a rectangle is 2:3 , If the perimeter of rectangle is 50cm, find the area of the rectangle.

Answer 1

Answer:

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Answer 2

Answer:

The ratio of length to breadth of a rectangle is 2:3, If the perimeter of the rectangle is 50cm, the area of the rectangle is $150cm^{2}$

Step-by-step explanation:

• A rectangle is a polygon with four sides

• The perimeter of a rectangle is the total linear distance along the boundary, if the length is (l) and breadth is (b) the perimeter is given by the formula

        $P=2(l+b)$ equation 1

• The area of the rectangle

        $A=lb$ equation 2

From the question, it is given that

let the length be (l) and breadth be (b)

the ratio of the length to breadth is $l/b=2/3$

⇒$l=\frac{2}{3} b$

the perimeter of the rectangle $P=50cm$

now put the values in equation1

⇒$50=2(b+\frac{2}{3} b)=10b/3$

⇒

$\frac{50*3}{10} =b\\b=15cm$

therefore the length is $l=\frac{2}{3} *15=10cm$

using equation 2

area of the rectangle $A=15*10=150cm^{2}$