Carrie is making a bedskirt for her twin beds. One side of a mattress measures 39 inches, and another side measures 75 inches. How many feet of fabric will Carrie need to make skirts for both beds? Explain.

Mathematics
Carrie is making a bedskirt for her twin beds. One side of a mattress measures 39 inches, and another side measures 75 inches. How many feet of fabric will Carrie need to make skirts for both beds? Explain.

ScanSolve AI Answer

Answer

312331 \frac{2}{3}

Step 1: Find the perimeter of one twin mattress.

P=2(l+w)P = 2(l + w)

where l=75l = 75 inches (length) and w=39w = 39 inches (width).

P=2(75+39)=2(114)=228P = 2(75 + 39) = 2(114) = 228

So, the perimeter is 228228 inches per bed skirt.

Step 2: Find the total inches of fabric for 55 bed skirts.

Totalinches=5×228=1140Total inches = 5 \times 228 = 1140

So, 11401140 inches total.

Step 3: Convert inches to yards (11 yard =36= 36 inches).

Totalyards=114036Total yards = \frac{1140}{36}

First, divide: 36×31=111636 \times 31 = 1116, remainder 11401116=241140 - 1116 = 24.

114036=312436=3123\frac{1140}{36} = 31 \frac{24}{36} = 31 \frac{2}{3}

312331 \frac{2}{3} yards

31 \frac{2{3}}

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