Question

The length of a rectangle is three times its width. If the perimeter of the rectangle is 40 cm, find its area.

Answer 1

Answer:

75 sqcm.

Step-by-step explanation:

Let the width be b.

Length = 3b

Perimeter is 2(b+3b) = 40 cm

2b + 6b = 40

8b = 40

b = 5 CM.

bredth = 5 cm

length = 15 cm

area = 15*5 = 75 sqcm.

Answer 2

Step-by-step explanation:

${\boxed{\bf{\green{Question}}}}$

${\purple{\underline{let \: width \: of \:rectangle \: = \: x \: cm }}}$

${\purple{\underline{length \: of \:rectangle \: = \: 3x \: cm }}}$

${\pink{\underline{perimeter \: = </p><p>40 \: cm }}}$

2(length+breadth) = 40 cm

2(3x + x) = 40 cm

2×4x = 40 cm

8x = 40 cm

x = 5 cm

So,

${\blue{width \: of \:rectangle \: = \: 5 \: cm }}$

${\blue{width \: of \:rectangle \: = \: 15 \: cm }}$

${\green{\underline{area = length × breadth }}}$

area = 15 × 5 cm²

= 75 cm²

${\huge{\boxed{\underline{\pink{area= 75 cm^2}}}}}$

hope this will help you