Question

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

first answer: 40

second answer: 20

Answer 2

The area of a rectangle is the product of its dimension.

• The length of the longer edge is 8.54 ft
• The area of the tabletop is 53.97 square feet

The vertices of the rectangle are given as:

$A = (4,9)$

$B = (7,8)$

$C = (5,2)$

$D = (2,3)$

Calculate the distance AB and BC, using the following distance formula

$d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}$

So, we have:

$AB = \sqrt{(4 - 7)^2 + (9- 1)^2}$

$AB = \sqrt{73}$

$AB = 8.54$

$BC = \sqrt{(7 - 5)^2 + (8- 2)^2}$

$BC = \sqrt{40}$

$BC = 6.32$

By comparison, the length of the longer edge is 8.54 ft

The area of the table is then calculated as:

$Area = AB \times BC$

So, we have:

$Area = 8.54 \times 6.32$

$Area = 53.97$

Hence, the area of the tabletop is 53.97 square feet

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