Question

A square has a perimeter of 100 cm.

A rectangle has length equal to TWICE the side of the square and breadth 10 cm LESS than the side of the square.

For this rectangle, what is the ratio of its length to its breadth?

A.3:10
B.3:13
C.10:13
D.10:3

Answer 1

Perimeter of square = 100cm
4×side = 100cm
side = 100÷ 4
= 25cm
ATQ
Length is Twice the side = 25×2 = 50cm
Breadth is 10cm less = 25-10 = 15cm

Ratio of length to breadth
= Length : Breadth
= 50 : 15
= 10 : 3

So option D is correct.

Hope it helps:)
Brainliest please:))

Answer 2

Given:

Perimeter of square = 100cm

Length of rectangle=2*side of square

The breadth of rectangle=side of square-10

Find:

The ratio of length of the rectangle to its breadth

Solution:

4×side = 100cm

side = 100÷ 4

= 25cm

Length of rectangle is Twice the side = 25×2 = 50cm

Breadth of rectangle is 10cm less = 25-10 = 15cm

Therefore, Ratio of length to breadth

= Length : Breadth

= 50 : 15

= 10 : 3

So option D is correct.