Question

The length of a rectangular wall is 16.5 feet. The height of the wall is 8.625 feet. Cameron determines the area of the wall to be 1423.125 square feet. Which best explains the reasonableness of Cameron’s solution?
(A) Cameron’s solution is reasonable because there are four decimal places in the factors and four decimal places in the product.
(B) Cameron’s solution is reasonable because there are three decimal places in the factors and three decimal places in the product.
(C) Cameron’s solution is unreasonable because 17x9 is 153, and 153 is not close to his product.
(D) Cameron’s solution is unreasonable because 10x10 is 100, and 100 is not close to his product.

Answer 1

By definition we have that the area of a rectangle is:
 $A = (w) * (l)$
 Where,
 w: width
 l: long
 Substituting values we have:
 $A = (16.5) * (8.625) A = 142.3125 feet ^ 2$
 Answer:
 A stament that best explains the reasonableness of Cameron's solution is:
 (C) Cameron's solution is unreasonable because 17x9 is 153, and 153 is not close to his product.