Question

You are designing a triangular pennant for your school. If you have only 117 square inches of fabric and you want the pennant, when suspended from its base, to hang down 18 inches, what must the length of the

base be?

Answer 1

The base must be 13 inches

Explanation:

Step 1: Determine the length of the base

`A = 1/2 * b * h`

`117\ in^2 = 1/2 * b * 18\ in`

`117\ in^2 = 9\ in * b`

`(117\ in^2)/(9\ in) = (9\ in * b)/(9\ in)`

`13\ in = b`

Answer: The base must be 13 inches

Answer 2

13 inches

Explanation:

• Area of fabric : 117 square inches
• Height : 18 inches

• Base x Height x 1/2 = Area (Fabric)
• Base x 18 x 1/2 = 117
• Base x 9 = 117
• Base = 13 inches