Question

The Perimeter of a rectangle patio is 64 feet. The length (l) is 10 feet longer than the width (w).Write and solve an equation to find the width of the patio.

a) Equation: w + 10 = 64; Answer: w = 54
b) Equation: w + 10 = 64; Answer: w = 10
c) Equation: 2w + 10 = 64; Answer: w = 27
d) Equation: w - 10 = 64; Answer: w = 74

Answer 1

The width of the patio is 6 feet.

Step-by-step explanation:

To find the width of the patio, we can use the equation: w + 10 + w + 10 + w + 10 + w + 10 = 64. This is because the perimeter of a rectangle is equal to twice the sum of the length and width. Simplifying the equation, we get 4w + 40 = 64. Subtracting 40 from both sides, we have 4w = 24. Finally, dividing both sides by 4, we find that w = 6.

Therefore, the width of the patio is 6 feet. Option b) Equation: w + 10 = 64; Answer: w = 10 is incorrect.