Question

Find the perimeter of a rectangle whose area is 750 cm2

and whose breadth is 15 cm.
Step by step explanation​

Answer 1

130 cm

Step-by-step explanation:

P=2l+2A

l=2·15+2·750

15=130cm

Answer 2

Let the Length of the rectangle be x and we've breadth as 15 cm.

• Area of Rectangle = 750 cm²

We know that:

$\bullet \ {\purple{\underline{\boxed{\sf{ Area _{(Rectangle)} = length \times breadth }}}}} \\ \\ \colon\implies{\sf{ 750 = x \times 15 }} \\ \\ \colon\implies{\sf{ \cancel{ \dfrac{750}{15} } = x }} \\ \\ \colon\implies{\sf{ x = 50 \ cm }}$

$\\ {\sf{ So, the \ length \ of \ the \ Rectangle \ is \ 50 \ cm. }}$

Now, we've to find the Perimeter of the Rectangle and we know that:-

• Length = 50 cm
• Breadth = 15 cm

$\bullet \ {\pink{\underline{\boxed{\sf{ Perimeter _{(Rectangle)} = 2(l+b) }}}}} \\ \\ \colon\implies{\sf{ Perimeter _{(Rectangle)} = 2(50+15) }} \\ \\ \colon\implies{\sf{ Perimeter _{(Rectangle)} = 2(65) }} \\ \\ \colon\implies{\sf{ Perimeter _{(Rectangle)} = 2 \times 65 }} \\ \\ \colon\implies{\sf{ Perimeter _{(Rectangle)} = 130 \ cm }}$

Hence,

$\\ {\underline{\sf\red{The \ Perimeter \ of \ the \ Rectangle \ is \ 130 \ cm. }}}$