Question

1 of 3 juan is designing an exercise room in his house. how many square feet of rubber flooring will he need to cover the floor? the product is sold in whole square yards. how many square yards should he buy? explain. the total area of the exercise room is \\(\square\\) \\(\text{ft}^2\\). this is also the total amount of rubber flooring that juan must have. (type a whole number) 10 ft 3 ft 6 ft 13 ft

Explanation:

Step1: Find missing side lengths

Vertical missing side: $10 - 3 = 7$ ft
Horizontal missing side: $13 - 6 = 7$ ft

Step2: Split shape into two rectangles

Option 1: Left rectangle + bottom rectangle
Left rectangle area: $7 \times 10 = 70$ $\text{ft}^2$
Bottom rectangle area: $6 \times 3 = 18$ $\text{ft}^2$

Step3: Calculate total area in sq ft

Total area: $70 + 18 = 88$ $\text{ft}^2$

Step4: Convert sq ft to sq yards

Since $1$ square yard = $9$ square feet:
$\text{Area in sq yards} = \frac{88}{9} \approx 9.78$
Round up to whole square yards: $10$

Answer:

The total area of the exercise room is $88$ $\text{ft}^2$. Juan needs to buy 10 whole square yards of rubber flooring.

• Square feet of flooring needed: $88$
• Square yards to buy: $10$ (since flooring is sold in whole square yards, we round up the non-whole result of $\frac{88}{9}$)