Question

Mr. Wen has a desk that is shaped like a trapezoid. The diagram shows the dimensions of the desk.



What is the area of the desk?



A. 5 square feet

B. 7 square feet

C. 10 square feet

D. 12 square feet

Answer 1

The answer would be B.

This is because 2ft + 2ft + 3ft = 7ft area

Answer 2

The area of the desk made by Mr. Wen which looks like the shape of trapezoid shown in figure is 5 square feet. Option A is correct.

What is the area of a trapezoid?

Area of a trapezoid is the product of the height of the trapezoid and the average of its parallel side. It can be found out using the following formula.

$A=\dfrac{a+b}{2}\times h$

Here, (a and b)is the length of parallel sides and (h) is the height of the trapezoid.

Trapezoid is shown in the figure. The length of the parallel sides are 2 ft and 3 ft. The height of the trapezoid is 2 ft long. Put the value sin the above formula as,

$A=\dfrac{2+3}{2}\times (2)\\A=5\rm \; ft^2$

Thus, the area of the desk made by Mr. Wen which looks like the shape of trapezoid shown in figure is 5 square feet. Option A is correct.

Learn more about the area of a trapezoid here;

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