Question

For each of two rectangles, the length to width ratio is 3:2. The ratio of the length of the larger rectangle to the length of the smaller rectangle is 7:5. What is the ratio of the area of the two rectangles?

Answer 1

ahh, I see you corrected it

1st:
length -- 3x
width ---2x
area = 6x^2

2nd :
lenth : width = 3y : 2y
area = 6y^2

but length of larger : length of smaller = 7:5
3y : 3x = 7 : 5
y/x = 7/5
y = 7x/5
so area of 2nd = 6(7x/5) = 294x^2/25

larger area / smaller area
= (294x^2/25) / 6x^2
= 49/25 or 49:25

or

simply realize that the area of similar figures is proportional to the square of their sides, which would be
7^2/5^2
= 49/25

Answer 2

The ratio of the length of a rectangle to the weight of the rectangle is 5:2 if the link is 45 centimeters what is the width of the rectangle in centimeters