Question

Two tables, congruent trapezoids, are placed together to make a corner desk, as shown

A. 8 square ft

B. 10 square ft

C. 16 square ft

D. 20 square ft​

Answer 1

D

Explanation:

3 and 7 are the main factors so you add them and get 10 but since it’s two equilateral trapezoids then you get another 10 being 20 square feet.

Answer 2

D) 20 square feet

Explanation:

We are given two congruent isosceles trapezoids and placed together formed to make a corner of the desk.

We need to find the area.

We know that the area of a trapezoid =
`(h)/(2) [base 1+ base 2]`

Where "h" is the height of the trapezoid.

Given: h = 2 ft, base 1 = 7ft and base 2 = 3ft

Now plug in these values in the above formula, we get

Area of a 1 trapezoid =
`(2)/(2) [7 + 3]`

= 10 square feet

The two trapezoids are congruent.

So the area of the given figure = 2(10) = 20 square feet.