Question

The students in a furniture making class make a tabletop shaped like the figure shown.
a. What is the area of the tabletop?
b. One of the students wants to make a tabletop shaped like a right triangle. This tabletop will have have the same area as the tabletop shown. What are a set of posible lengths for the sides of the tabletop that meet in a right angle? Explain.
(Due by today)

Answer 1

Answer:

The area of the given figure is equal to the area of a rectangle with sides 5 feets by 6 feets less the area of four square cut-outs of side 1 feet.

Area of the rectangle = 5 x 6 = 30 square feets.

Area of the four square cut-outs = 4(1 x 1) = 4 x 1 = 4 square feet

Area of the given figure = 30 - 4 = 26 square feet.

Area of a triangle = 1/2 x base x height

i.e. 1/2 bh = 26

bh = 26 x 2 = 52

possible values of base and height = (1 and 52), (2 and 26), (4 and 13)

Step-by-step explanation:

Hope this helped.

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