118k views
2 votes
You have a square piece of cardboard that measures 14 inches on each side. To build a box, you cut congruent squares out of each corner of the cardboard. Use the picture to find the area of the cardboard you will use to build the box.

No work is necessary to be shown! ASAP please ^^

You have a square piece of cardboard that measures 14 inches on each side. To build-example-1

2 Answers

4 votes

Answer:

Explanation:

You have a square piece of cardboard that measures 14 inches on each side. To build-example-1
User Momin
by
6.5k points
5 votes
To solve this problem you must apply the proccedure showm below:

1. As you can see in the figure attached, the square piece of cardboard measures 14 inches on each side and the sides of each congruent squares of each corner of the cardboard is 4 inches. Therefore, you have that the area of the cardboard you will use to build the box is:

At=A1-A2

At is the area
you will use to build the box.
A1 is the original area of the the square piece of cardboard.
A2 is the the area of the congruent squares.

2. Then, you have:

A1=(14 inches)²
A1=196 inches²

A2=(4 inches)²x4 squares
A2=64 inches²

At=196 inches²-64 inches²
At=132 inches²

The answer is: 132 inches²
User Daphney
by
6.5k points