Question

Plzz help i wasted my points on this

Dakota’s parents are creating her practice ballet studio and want to install baseboards around the perimeter of the rectangular room with sides measuring 13 feet 8 inches and 12 feet 3 inches.



1. Estimate the perimeter of the room and explain how you got the estimate
2. Write the dimensions of the room as mixed numbers. Remember 1 foot = 12 inches. What does the fractional part of each mixed number represent? Find the perimeter of the room. Show your work.
4. How does your result from part 3 compare to your estimate in part 1?
5. The baseboard will not go across the doorway of the room which is 2 ¼ feet wide.

Taking into account the doorway, calculate the new length of baseboard needed for the room. The hardware store sells the baseboards in 8 foot lengths. How many boards need to be purchased to install new baseboards in the room?

Answer 1

1. To estimate, lets round the dimensions to 14 feet and 12 feet. Then, we calculate the perimeter as usual.

(14 + 12)2 = 26 * 2 = 52 feet as an estimate.

2. We need to write 8 and 3 inches in feet, and to do that we divide by 12, giving us 2/3 and 1/4. So, the mixed numbers are 13 2/3 feet and 12 1/4 feet. Each fraction represents the inches.

3. Using the fractions, we can find the perimeter.

(13 2/3 + 12 1/4)2 = 25 11/12 * 2 = 51 10/12 = 51 5/6 feet.

4. Our result from part 3 is pretty close to our estimate from part 1 - just 1/6 feet, or 2 inches off.

5. Now, we can just subtract the width of the doorway from our perimeter.

51 5/6 - 2 1/4 = 49 7/12 feet.

6. Finally, we divide our new perimeter by 8, and then round up.

49 7/12 / 8 ≈ 7 boards.