Question

The width of the rectangle is 2/3 of its length. If the perimeter of the rectangle is 80 cm. Find its area

Answer 1

Answer:

384 cm^2

Step-by-step explanation:

Let length=x

Breadth=2x/3

Perimeter= 2(l+b) = 2(2x/3+x) = 80 cm

5x/3=40 cm

Length = x=24 can

Breadth= 2x/3= 2*24/3 = 16 cm

Area= l*b = 24 * 16 = 384 cm^2

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Answer 2

Answer:

Let the length of the rectangle be x cm

Given,

breadth of the rectangle = 2/3 cm

But, the perimeter of the rectangle is 80cm

Now,

we have to find the length of the rectangle

By using formula: perimeter= 2 (l+b)

According to the question

80cm= 2(x+2/3)

40cm = 5x/3

120cm = 5x (By cross multiplication)

24cm= x

Now,

we have to find the area of the rectangle

By using formula: l×b

According to the question

24cm ×2/3cm

16cm2

Hence,

the area of the rectangle is 16cm2