Question

A bricklayer will put cement on the floor of my patio that has a rectangular shape of 15 m long and whose perimeter is less than 50 m. What is the maximum integer value that the width of my patio could have?

a) 5 m
b) 10 m
c) 12 m
d) 20 m

Answer 1

The maximum integer value of the width of the patio is 5m.

Step-by-step explanation:

To find the maximum integer value of the width of the patio, we need to determine the maximum perimeter that is less than 50m. The perimeter of a rectangle is given by the formula P = 2(l + w), where P is the perimeter, l is the length, and w is the width. We can rearrange the formula to solve for the width: w = (P - 2l) / 2. Given that the length is 15m, we substitute the values into the formula: w = (50 - 2(15)) / 2 = 5m.

Therefore, the maximum integer value that the width of your patio could have is 5m, option a).