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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 adjacent side. The area of the reulsting blancket is 960 square inches. Find the area of the original blanket

Respuesta :

mhanifa

Answer:

  • 784 in²

Step-by-step explanation:

Let the original side is x.

1 foot = 12 inches

New sides of a rectangle are:

  • x + 12 and x - 4

The area of rectangle is:

  • (x + 12)(x - 4) = 960

Solve for x:

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

Area of the original blanket:

  • A = 28² = 784 in²

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