Question

the length and the breath of a rectangle are in the ratio of 5:7 if it's perimeter is 120 find it's area​

Answer 1

let the length be 5x and the breadth be 7x

i.e 5x + 7 x = 12 x = 120

i.e x = 10

now , length = 5x = 50 cm

breadth = 7x = 70 cm

area of rectangle = l * b

= 50 * 70 cm² = 3500 cm² = 3.5 m²

hope it helps you :)

Answer 2

Explanation:

[tex]let \: the \: lenght \: and \: breath \: of \: the \: rectangle \: be \: 5x \: and \: 7x \\ \\ \\ perimeter \: is \: given \: \\ \\ perimeter \: of \: rectangle \: = 2(l + b) \\ \\ 120 = 5x + 7x \\ \\ 120 = 12x \\ x = 120 \div 12 \\ \\ x = 10 \\ \\ now \: area \: of \: the \: triangle = l into b\\ \\ 50 into 70 is equal to 3500