Question

If the perimeter of a rectangle is 24cm with
length being twice as its breadth, find its area.
A. 24 sq.cm
B. 32 sq.cm
C. 28 sq.cm
D. 36 sq.cm
​

Answer 1

Answer:

Area of rectangle is 32 sq. cm

Step-by-step explanation:

Perimeter of a rectangle is 24 cm

Given that length is twice as its breadth.

Let breadth of rectangle be $x$ cm

Thus, length of reactangle $= 2x$

Perimeter of rectangle is calculated as

$Perimeter = 2(\,Length + Breadth)\,\\\\ 24 = 2(\,2x + x)\,\\\\ 2(\,3x)\, = 24\\\\6x = 24\\\\x = 4$

Thus, Breadth = 4 cm

Length = 8 cm

Area of rectangle is calculated as follows:

$Area = Length \times Breadth\\\\ Area = 8 \times 4\\\\ Area = 32\hspace{0.1cm}cm^2$

Thus, area of rectangle is 32 sq. cm

Answer 2

Answer:

B. 32 sq. cm

Step-by-step explanation:

perimeter = 24 cm

length = twice of breadth = 2b

FORMULA

perimeter = 2 (l + b)

area = l x b