Question

1. kristen and niko buy a canvas for their art studio.$2\frac{1}{2}$ ft$3\frac{1}{4}$ fta. estimate the area of their canvas.write an equation to model your work.b. find the actual area of their canvas.write your answer as a mixed number.c. compare your answer to your estimate to see if your answer is reasonable.

Explanation:

Step1: Round mixed numbers

Round $2\frac{1}{2}$ to 3, round $3\frac{1}{4}$ to 3.

Step2: Calculate estimated area

$\text{Estimated Area} = 3 \times 3 = 9$

Step3: Convert to improper fractions

$2\frac{1}{2} = \frac{5}{2}$, $3\frac{1}{4} = \frac{13}{4}$

Step4: Calculate actual area

$\text{Actual Area} = \frac{5}{2} \times \frac{13}{4} = \frac{65}{8}$

Step5: Convert to mixed number

$\frac{65}{8} = 8\frac{1}{8}$

Step6: Compare estimate and actual

$8\frac{1}{8}$ is close to 9, so reasonable.

Answer:

A. Estimated area: $3 \times 3 = 9$ square feet
B. Actual area: $8\frac{1}{8}$ square feet
C. The actual area $8\frac{1}{8}$ is very close to the estimate of 9, so the answer is reasonable.