Suppose you are replacing the carpet in the living room where the length of the living room is five feet shorter than twice its width, w. Tack strip is placed around the perimeter of the room, which is equal to five times the width. If carpet costs $2.99 a square foot, what the total cost to carpet the living room?

$149.50

Step-by-step explanation:

Width = x

Length = 2x - 5

Perimeter of the room = 5x

Perimeter of the room = 2(length + width)

5x = 2{(2x-5) + x}

5x = 2(2x - 5 + x)

5x = 4x - 10 + 2x

5x = 6x - 10

5x - 6x = -10

-x = -10

x = 10

Width = x = 10

Length = 2x - 5

= 2*10 - 5

= 20 - 5

= 15

Perimeter of the room = 5x

= 5 × 10

= 50 square foot

If carpet costs $2.99 a square foot, what the total cost to carpet the living room

Total cost = $2.99 × 50

= $149.50

the figures below are made out of circles, semicircles, quarter … find the area and the perimeter of each figure and give your answers as a completely simplified exact value in terms of π (no approximations). remember that we'll also have to cut whatever areas we get in half, since we're only dealing im pretty sure that is the right answer

step-by-step explanation: