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KatRina [158]
3 years ago
10

To build a box, you find a square piece of cardboard that measures 10 inches on each side. From each corner of the cardboard, yo

u cut out congruent squares. Use the picture to find the area of the cardboard you will use for your box.

Mathematics
2 answers:
Mumz [18]3 years ago
6 0
The correct answer is 64 square units.

The area of the complete shape would be 100 square inches.
10 x 10 = 100

However, we have to remove the 4 corners. Each of the corners is 9 square inches. 3 x 3 = 9

100 - 4(9) = 64
vfiekz [6]3 years ago
6 0
The area of the complete square is:
 A1 = (10) * (10)
 A1 = 100in ^ 2
 The area of the corners is:
 A2 = (3) * (3)
 A2 = 9in ^ 2
 The area to use is:
 A = A1 - 4 * A2
 Substituting values:
 A = 100 - 4 * (9)
 A = 100 - 36
 A = 64 in ^ 2
 Answer:
 
The area of the cardboard you will use for your box is:
 
A = 64 in ^ 2
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