59.0k views
3 votes
A picture frame consists of two rectangular strips of wood, each having a width of 1 inch on all sides. If the area of the inner light gray strip is 100 in^2, then compute the area of the outer dark gray strip in square inches.

User Marilyn
by
7.7k points

2 Answers

2 votes

Answer:

121

Explanation:

the square root of 100 is 10

width is 1 inch

so the length of outside is 11inch

11^2=121

User Alon Rolnik
by
7.8k points
6 votes

Explanation:

To compute the area of the outer dark gray strip, you'll need to know the dimensions of the inner light gray strip. Since the inner strip has a width of 1 inch on all sides, you can subtract 2 inches from both the length and width of the outer frame to find the dimensions of the inner strip.

Let's denote the length of the inner strip as L inches and the width as W inches. Then, the dimensions of the outer frame would be (L + 2) inches for the length and (W + 2) inches for the width.

Since the area of the inner light gray strip is 100 square inches, you can set up an equation:

L * W = 100

Now, you can find the area of the outer dark gray strip:

Outer strip area = (L + 2) * (W + 2) - L * W

Substitute the value of L * W from the equation above:

Outer strip area = (L + 2) * (W + 2) - 100

You'll need the specific values of L and W to calculate the exact area of the outer dark gray strip.

User Robert Siemer
by
8.1k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.