Question

Renee is sewing a quilt whose pattern contains right triangles. Each quilt piece has a height of 4 in. And an area of 10 in2. How long is the base of each quilt piece?

Answer 1

Answer:

5 yards.

Step-by-step explanation:

Given:

Renee is sewing a quilt whose pattern contains right triangles.

Each quilt piece has a height of 4 inches.

And an area of 10 square inches.

Question asked:

How long is the base of each quilt piece ?

Solution:

Height = 4 inches

Area of right triangle = 10 square inches

Base = ?

As we know:

$Area\ of\ right\ triangle=\frac{1}{2} \times base\times height$

                                $10=\frac{1}{2} \times base\times 4$

                                $10=\frac{4}{2}\ base$

By cross multiplication:

$10\times2=4base\\20=4base$

Dividing both sides by 4

$5=base$

Therefore, base of each quilt piece is 5 yards.