A rectangular patio has a length of 12 1/2 feet and an area of 103 1/8 square feet. What is the width of the patio?
Answer (3)
Area=Length x width so you replace the words with numbers 103 1/8=12 1/2 × width width=(103 1/8)÷(12 1/2) width =8.25 ft
Since a rectangular patio is a rectangle, to solve this we are going to use the formula for the area of a rectangle: A = wl
where
A is the area of the rectangle
w is the width of the rectangle
l is the length of the rectangle
We know form our problem that the length of the rectangular patio is 12 2 1 feet, so l = 12 2 1 f t . We also know that the area is 103 8 1 square feet, so A = 103 8 1 f t 2 . Lets replace those values in our formula and solve for w :
A = wl
103 8 1 f t 2 = 12 2 1 f tw
12 2 1 f t 103 8 1 f t 2 = w
w = 12 2 1 f t 103 8 1 f t 2
w = 8 4 1 f t = 8.25 f t
We can conclude that the width of the rectangular patio is 8 4 1 feet, or as a decimal, 8.25 feet.
The width of the rectangular patio is 8.25 feet, which can also be expressed as 8 1/4 feet, calculated using the area formula for rectangles.
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