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A rectangular lawn has a perimeter of 15.8 meters and the length is 3.1 meters longer than the width. What are the dimensions of the lawn?
Question
A rectangular lawn has a perimeter of 15.8 meters and the length is 3.1 meters longer than the width. What are the dimensions of the lawn? If the width of the fixture is w meters, find w to one decimal place.
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Mathematics
4 years
2021-08-23T02:38:13+00:00
2021-08-23T02:38:13+00:00 2 Answers
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Answers ( )
2W + 2(W + 3.1) = 15.8
2W + 2W + 6.2 = 15.8
4W + 6.2 = 15.8
4W = 9.6
W = 2.4
Perimeter
2.4 + 2.4 + (2.4 + 3.1) + (2.4 + 3.1) = 15.8
Answer:
w is 4.8 meters
Step-by-step explanation:
-perimeter is 15.8 m so all the sides of the rectangle adds up to 15.8.
– a rectangle has 2 sets of equal sides.
-first, do 3.1 times 2 to get the length of the first set of equal sides. This equals to 6.2.
-now 15.8 – 6.2 = 9.6 meters
– 9.6 divided by 2 to find the width, as well as the measurements of the second set of equal sides.
the width, w, is 4.8 meters.