Question

A rectangle has an area of 513.5m2.
One of the sides is 7.9m in length.
Work out the perimeter of the rectangle.

Answer 1

Given:

• A rectangle has an area ,a = 513.5 m²

• Length, l = 7.9 m

To find out:

Work out the perimeter of the rectangle?

Formula used:

• Area of rectangle = length × breadth

• Perimeter of rectangle = 2 ( length + breadth )

Solution:

Let the breadth be b .

According to the question,

Area of rectangle = length × breadth

⇒ 513.5 = 7.9 × breadth

⇒ breadth = 513.5/7.9

⇒ breadth = 5135/79

⇒ breadth, b = 65 m

Now,

Perimeter of rectangle = 2 ( length + breadth)

= 2 ( 7.9 + 65 )

= 2 × 72.9

= 145.8 m

Hence the perimeter of rectangle is 145.8 m.

Answer 2

$\large\underline\mathrm{Given:-}$

• A rectangle has an area = 513.5m²

• Length = 7.9m

$\large\underline\mathrm{To \: find}$

• Work out the perimeter of the rectangle?

$\large\underline\mathrm{Solution}$

Area of rectangle = length × breadth

$\implies$ 513.5 = 7.9 × breadth

$\implies$ breadth = 513.5/7.9

$\implies$ breadth = 65m

• Perimeter of rectangle = 2(length + breadth)

$\implies$ 2(7.9 + 65)

$\implies$ 2(72.9)

$\implies$ 148.8m.