Two rectangular rugs are ordered at Cardi’s furniture: small rugs and large rugs.
Small rugs are 36 inches long and 18 inches wide.
Large rugs are 90 inches long and 45 inches wide.
a. Are the rugs similar shapes? Explain your reasoning.
b. Find the ratio of the two perimeters and the ratio of the two areas. Is there anything you notice about these ratios? What can you deduce?
c. It takes 180 feet of yarn to create a square foot of either rug. How many inches of yarn are needed to make the small rug? How many feet or yarn is needed to make the large rug?
d. If a “skein” of yarn costs $4.50 and one skein is exactly 180 feet of yarn, how many skeins of yarn are needed to make the large rug? Given this answer what is the lowest Cardi’s must sell the large rug in order to make a profit
PLEASE HELP EVEN IF U CAN ANSWER JUST 1
Answer:
a.) yes they are similar shapes, the width for both rugs is 1/2 of the length. This means that they are both similar in shape.
b.) 2:5 (perimeter rug 1 and 2 compared), 4:25 ( area for 1 and 2). The numers in the perimeter ratio are the square root of the numbers in the area ratio.
c.) You will need 648 sq in for the small rug and 4050 sq in for the large rug.
d.) 2: she has to sell the large rugs x>$9 and the small rugs for s>$1.50
Step-by-step explanation:
total perimeter for rug 1 = 108 For rug 2 = 270
area for run 1 = 648 For rug 2 = 4050
180 ft = 2150 in
The large rug needs two skeins of yarn which cost 9 dollars, if she wants to make a profit she will have to sell them over that price.
You can make 3 small rugs with one skein meaning if she wants to make a profit from the small rugs she has to sell them over 1/3 of the price of the skein (which is sold for $4.50). She will have to sell the small rug for over $1.50