Question

a rectangle has 25cmas its length and 250 square cm as its area.if the area is increased to 1 1/4 times the original area by increasing its length only, then the perimeter will be

Answer 1

The perimeter will be 82.5 cm.

Step-by-step explanation:

Consider the provided information.

The rectangle has 25 cm as its length and 250 square cm.

Area of rectangle is: $A=Length \times Width$

Substitute the respective values.

$250=25 \times Width$

$Width=10$

The width of the rectangle is 10 cm.

The area is increased by $1\frac{1}{4}$.

$1\frac{1}{4}\times 250=312.5$

The original area by increasing its length only.

Let the new length is x

$312.5=x \times 10$

$x=31.25$

Hence, the new length is 31.25 cm.

The perimeter of rectangle is: $P=2(Length+Width)$

$P=2(31.25+10)$

$P=82.5$

Hence, the perimeter will be 82.5 cm.

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