Question

Kent makes a small garage door frame for a model car display. He takes a square of wood with an area of 75 square in and cuts out the Shaded portion from one side as shown the Shaded portion is a square with an area of 50 square inches. To the nearest tenth what will be the distance D on the Finish door frame ?

Answer 1

Given:

Area of wood = 75 square inches

Area of shaded portion = 50 square inches.

Given that both are squares, let's find the indicated distance D.

Since they are squares, apply the formula below to find the length of each side:

`l=\sqrt[]{A}`

Where:

l is the length of each side

A is the area of the each square.

Thus, we have:

• Length of each side of the wood:

`\begin{gathered} l=\sqrt[]{75} \\ \\ l=8.7\text{ inches} \end{gathered}`

• Length of each side of the shaded portion:

`\begin{gathered} l=\sqrt[]{50} \\ \\ l=7.1\text{ inches} \end{gathered}`

To find the distance, d, we have:

d = 8.7 - 7.1 = 1.6 inches

Therefore, the distance on the finished door frame is 1.6 inches.

ANSWER:

1.6 inches.