Question

without actually solving the problem, choose the correct solution by deciding which choice satisfies the given conditions.
the length of a rectangle is 2 feet longer than the width. the perimeter is 20 feet. find the dimensions of the rectangle
which choice satisfies the given conditions?
a. length = 6 feet; width = 4 feet
b. length = 5 feet; width = 3 feet
c. length = 7 feet; width = 3 feet

Explanation:

Step1: Check length - width relationship

Check if length is 2 feet longer than width for each option.

• Option A: \(6 - 4=2\)
• Option B: \(5 - 3 = 2\)
• Option C: \(7 - 3=4

eq2\)

Step2: Check perimeter formula \(P = 2(l + w)\)

Perimeter formula for rectangle is \(P=2(l + w)\).

• Option A: \(P=2(6 + 4)=2\times10 = 20\)
• Option B: \(P=2(5 + 3)=2\times8=16

eq20\)

Answer:

A. length = 6 feet, width = 4 feet