Question

Two rectangles are in proportion the bigger rectangle has a base of 8 inches and height of 3 inches.

Answer 1

The height of the smaller rectangle will be 1.875inches

Similar Shapes

In order to get the height of the smaller rectangle, we will use the similarity theorem of shapes.

For the given rectangles:

• Let B and b be the base of the larger and smaller rectangle respectively
• Let H and h be the height of the larger and smaller rectangle respectively

According to the theorem:

$\frac{B}{H} = \frac{b}{h}$

Substitute the given parameters into the formula:

$\frac{8}{3} =\frac{5}{h}\\8h = 3 \times 5\\8h = 15\\h =\frac{15}{8}\\h= 1.875in$

Hence the height of the smaller rectangle will be 1.875inches

Complete question:

Two rectangles are in proportion the bigger rectangle has a base of 8 inches and a height of 3 inches. If the smaller rectangle has a base of 5 inches, what is its height?

Learn more on similar shapes here: https://brainly.com/question/12580764