Rex has a square deck that is 9 \text{ feet}9 feet9, start text, space, f, e, e, t, end text long on each side. He decides to add triangular benches in each corner as is shown in the diagram.
What is the area of the deck that is not covered by benches?
\text{ft}^2ft
2
Answers
Answer:
63
Step-by-step explanation:
area of whole deck=side⋅side =9⋅9 =81 ft 2 then you find the area of all the benches and added them together then subtract the benches and the whole square and get the final project
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Answer: the area of the deck that is not covered by benches is 63ft^2
Step-by-step explanation: area of the whole deck = side x side
= 9 x 9
= 81 ft^2
area of each triangular bench = 1/2 ⋅ base ⋅ height
= /12 ⋅ 3 ⋅ 3
= 4.5ft^2
to find the area of all 4 benches, we can multiply.
4 ⋅ 4.5 = 18ft^2
now we can subtract to find the area of the deck that is not covered by benches.
81 - 18 = 63ft^2
(mark me as brainlest pls.)