Question

Khloe is making a large table in the shape of a trapezoid, as shown. She needs to calculate the area of the table. She is making the longest side of the table twice as long as the table's width. Complete parts a and b below. (There's One More Part After This)

Answer 1

Given

Find

Area of the table.

Explanation

Area of trapezium is given by

$\frac{1}{2}(sum\text{ of parallel sides})\times height$

we have given

table width = 2.5 yd

longest side is twice the table's width

so , longest side = 2 *2.5 = 5 yd

side opposite to longest side = 5 - 2 = 3 yd

area of the table =

$\begin{gathered} \frac{1}{2}(5+3)\times2.5 \\ \frac{1}{2}\times8\times2.5 \\ 10yd^2 \\ \end{gathered}$

Final Answer

a) bottom box = 5 yd and top box = 3 yd

b) area of the table = 10 square yards