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frosja888 [35]
3 years ago
8

A rectangular rug has a perimeter of 20 feet. The length of the rug is 6 feet. What is the width of the rug in inches?

Mathematics
1 answer:
Alinara [238K]3 years ago
7 0

Answer:

48 in

Step-by-step explanation:

The length of the rug is 6 feet. We know this must account for 2 sides of the rug, so let's multiply 6 by 2.

6 × 2 = 12

Now subtract 12 from 20.

20 - 12 = 8

Now divide 8 by 2 to find the measurement of the remaining two sides.

8 ÷ 2 = 4.

The width of the rug is 4 feet. The question wants to find the width in inches, however. So multiply 4 by 12 because there are 12 inches in each foot.

4 × 12 = 48

The width of the rug is 48 inches.

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Answer:

Area of the rectangle = 95 cm²

Step-by-step explanation:

Perimeter of the rectangle = Sum of the measures of the sides of the rectangle

From the figure attached,

Perimeter of the rectangle = 2[(3x -1) + (2x + 3)]

                                       39 = 2(5x + 2)

                                       39 = 10x + 4

                                      10x = 39 - 4

                                      10x = 35

                                          x = 3.5

Therefore, measure of the given sides will be,

Length = (3x - 1) cm

3x - 1 = (3×3.5) - 1

        = 10.5 - 1

        = 9.5 cm

Width = (2x + 3) cm

2x + 3 = (2×3.5) + 3

          = 7 + 3

          = 10 cm

Area of the rectangle = Length × width

                                   = 9.5 × 10

                                   = 95 cm²

Therefore, area of the rectangle is 95 cm².

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