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raketka [301]
3 years ago
13

kiara made a square baby blanket. She decided to add 1 foot of material to one side, then cut 4 inches of material off from an a

djacent side. The area of the reulsting blancket is 960 square inches. Find the area of the original blanket
Mathematics
1 answer:
alexira [117]3 years ago
5 0

Answer:

  • 784 in²

Step-by-step explanation:

Let the original side is x.

1 foot = 12 inches

<u>New sides of a rectangle are:</u>

  • x + 12 and x - 4

<u>The area of rectangle is:</u>

  • (x + 12)(x - 4) = 960

<u>Solve for x:</u>

  • x² + 8x - 48 = 960
  • x² + 2*4*x + 16 - 64 = 960
  • (x + 4)² = 1024
  • x + 4 = 32
  • x = 28

<u>Area of the original blanket:</u>

  • A = 28² = 784 in²
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