Question

A game room has a perimeter of 70 ft. The length is five more than twice the width. How many ft2 of new carpeting should be ordered?​

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

The perimeter is just the lengths of the sides added together. We can express the length being twice the width by saying that

L=2W+5.

The perimeter of a rectangular room is 2W+2L. We can subsitute “2W+5″ for each L. We also know that the perimeter is 70.

So 70=2W+2(2W+5).

We deal with the bit in the parenthesis and get

70=2W+4W+10

Subtract the 10 from both sides.

60=6W.

Divide both sides by 6.

10=W.

Now that we have the width we can figure out the length, since we know it’s twice that amount plus five.

L=2(10)+5=25.

The amount of carpet that we need is the area of the room, which is length times the width.

A=25∗10=250.

250 square feet of carpet is needed

Step-by-step explanation:

Width = w. Length = 2w + 5.

Circumference = 2(w) + 2(2w + 5)

So, 2w + 4w + 10 = 70, 6w = 60, w = 10

The room is 10′ wide by 25′ long

You need 250 square feet of carpeting.