Question

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

Answer 1

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