A carpet manufacturer has received a special order from a contractor for precision-cut carpet. The carpet is rectangular, and the dimensions must be exactly 4+sqrt 7 yards wide by 5+sqrt 7 yards long. To know what the price of the carpet is, the salesman must know the total area of the carpet to be prepared for the contractor. What is the area of the carpet? (Recall that the area of a rectangle is the width multiplied by the length). A. 27 square yards B. 27 + √7square yards C. 27 + 9√7 square yards D. 29 + 9√7 square yards.

Question

Mathematics

Johanna Bailey

16 February, 11:31

A carpet manufacturer has received a special order from a contractor for precision-cut carpet. The carpet is rectangular, and the dimensions must be exactly 4+sqrt 7 yards wide by 5+sqrt 7 yards long. To know what the price of the carpet is, the salesman must know the total area of the carpet to be prepared for the contractor. What is the area of the carpet? (Recall that the area of a rectangle is the width multiplied by the length). A. 27 square yards B. 27 + √7square yards C. 27 + 9√7 square yards D. 29 + 9√7 square yards.

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Answers (1)

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Lorelai Robles · Answer 1

dа ta:

width = 4 + √7 yards

length = 5 + √7 yards

area = ?

Formula: area = width * length

Solution:

area = (4 + √7) (5 + √7)

Apply distributive property:

area = 4 * 5 + 4 * √7 + √7 * 5 + √7 * √7

area = 20 + 4√7 + 5√7 + 7 = 27 + 9√7

Answer: option C. 27 + 9√7 square yards.