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A rectangular table is positioned in a 10-foot by 10-foot room as shown.
How long is the longer edge of the table?
Square root of
feet
What is the area of the tabletop?

square feet

Answer 1

The answer is 40 and 20 for the second one

Explanation:

Answer 2

A(2, 3); B(4, 9); C(7, 8); D(5, 2)

1. How long is the longer edge of the table?

`AB= √((x_b-x_a)^2+(y_b-y_a)^2) = √((4-2)^2+(9-3)^2)= \\ = √(2^2+6^2)= √(4+36)= √(40) \ \text{feet}`

2. What is the area of the tabletop?

`BC= √((x_c-x_b)^2+(y_c-y_b)^2) = √((7-4)^2+(8-9)^2)= \\ = √(3^2+(-1)^2)= √(9+1)= √(10) \ \text{feet} \\ \\ Area=AB*BC= √(40)* √(10)= √(400)= 20 \ \text{square feet}`

Answer: √40; 20.