Question

The area of the rectangle shown is 352 square inches. What are the dimensions of the rectangle? Write the dimensions from least to greatest.

Length= 4x Width= x+3 Area=352

Answer 1

• 11 in and 32 in

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Given a rectangle with dimensions of:

• l = 4x in,
• w = x + 3 in,
• And area of A = 352 in²

Use area equation and find the value of x:

• A = lw

• 352 = 4x(x + 3)
• 88 = x(x + 3)
• 88 = x² + 3x
• x² + 3x - 88 = 0
• x² + 11x - 8x - 88 = 0
• x(x + 11) - 8(x + 11) = 0
• (x - 8)(x + 11) = 0
• x = 8 or x = - 11

The second root is ignored as being negative.

The dimensions of the rectangle are:

• l = 4*8 = 32 in
• w = 8 + 3 = 11 in