Question

If the length and breadth of a rectangle are 36 cm and 24 cm respectively. Find (i) Perimeter (ii) Area of the rectangle. A. P=120 cm A=782 cm2 B. P=60 cm A=864 cm2 C. P=120 cm A=864 cm2 D. P=60 cm A=782 cm2

Answer 1

Perimeter is 120 cm, area is 864 cm²

Explanation:

Do you remember that perimeter just means to add up the length of all four sides? So going around a rectangle with those dimensions you might write down:

36 + 24 + 36 + 24

Do you see why I say that? Because there's 2 lengths and 2 widths. So let's group them like that:

(36 + 36) + (24 + 24)

Whis is the same as:

2x36 + 2x24

More generally, it's: Perimeter = 2L + 2W. Remember this one.

Plugging in the numbers:

P = 2(36cm) + 2(24cm)

P = 72cm + 48cm = 120cm

Do you remember that the area of a rectangle is just L x W? Remember that one too. Especially that one. We know L and W, so:

A = LW

A = (36cm)(24cm) = 864 cm²