Question

3. The rectangles below are similar,

A
B
4 cm
24 cm
B.
a. Identify the scale factor of the rectangle A to rectangle
20
b. The area of rectangle A is 288 cm2. What is the area of rectangle B?
(Hint: Remember to identify scale factors of the areas first)

Answer 1

a). The scale before simplification is 24:4,

when simplified, i.e divide both sides by the smallest number, 4.

A:B = 6:1 the scale factor is 6


b) The scale factor for the area, 6^2= 36

I.e the area of the larger rectangle is 36 times the smallest triangle

Therefore, Area of rectangle B = Area of rectangle A divided by 36

Area of B is 288/36 = 8


( You can prove this just by calculating the other sides of both triangles: for A it is 12, for B it is 2. From the scale factor you stated to answer question (a) 6:1 can be proven 12:2======>6:1