Question

The sides of a rectangle are in the ratio 4:3. Its perimeter is 210 cm. The length of the rectangle is:
60 cm
45 cm
120 cm
90 cm​

Answer 1

Answer:

Let the ratio of length:width be 4:3. Let length be l and width be w.

l = (4/3)w

As perimeter is 210, 2l + 2w = 210

Hence, 2(4/3)w + 2w = 210

Hence, 7w/3 = 105

Hence, w = (3/7)105 = 45

Hence, l = 60

Area = lw = 60*45 = 4*15*3*15 = 12*(15)^2 = 12*225 =2700

Answer 2

Step-by-step explanation:

let length of rectangle be 4x

let breath of rectangle be 3x

A.T.Q

210cm=2(4x+3x)

210cm=2(7x)

210cm÷2=7x

105cm=7x

105cm÷7=x

15cm=x

length=4x=4×15=60cm

breath=3x=3×15=45cm