Question

Work out the area of a rectangle with base, b = 40mm and perimeter, P = 92mm.

Answer 1

Area of Rectangle is 240mm^2

Answer 2

The area of a rectangle $=240mm^{2}$

Step-by-step explanation:

Given,

Base, b = 40 mm and perimeter, P = 92 mm

To find, the area of a rectangle = ?

Let length of rectangle = l

We know that,

The perimeter of a rectangle =2(l + b)

⇒ 2(l + b) = 92 mm

⇒ l + 40 mm = $\dfrac{92}{2}=46$ mm

⇒ l = 46 - 40 = 6 mm

∴ Area of a rectangle = l × b

= 6 mm × 40 mm

= 240 $mm^{2}$

Hence, the area of a rectangle $=240mm^{2}$