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4 votes
A rope 40m long is used to form a rectangle. If the length of the rectangle formed is 4m longer than the width. Calculate the area of the rectangle

User Alecco
by
5.5k points

2 Answers

4 votes

Answer:

96m^2

Explanation:

40=2(x+x+4)--> 2(2x+4).

20=2x+4

20-4=2x

16=2x

8=x

8✖️12=96m^2

User EagerMoose
by
5.2k points
4 votes

Answer:

96 sq. m

Explanation:

If the width is x, the length is x + 4 and since perimeter = 2 * (length + width), we can write:

40 = 2(x + x + 4)

40 = 2(2x + 4)

20 = 2x + 4

16 = 2x

x = 8 so x + 4 = 12, therefore the area is 8 * 12 = 96 square meters.

User Rob Van Dijk
by
5.3k points
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