Assessment Practice
16. Marique is making a large table in the shape of a trapezoid. She needs
to calculate the area of the table. The longest side of the table is twice
as long as the table's width. Find the area of the table by decomposing
the trapezoid into familiar shapes. Show your work

Respuesta :

Given that the length of the table is twice the width which is 1.25 m. and

the difference in the parallel side is 1 m., the area of the table is 2.5 m².

How can the area of the table be calculated?

The possible table dimensions are;

Width of the table = 1.25 m

Width of the table = The height of the trapezoid

The difference in length between the parallel sides = 2 × 0.5 m = 1 m

Longest side of the table is a parallel side of the trapezoid

Given;

Length of the longest side of the table = 2 × The width

Which gives;

Length of the longest side of the table = 2 × 1.25 m = 2.5 m

Length of other parallel side = 2.5 m - 1 m = 1.5 m

[tex]Area \ of \ a \ trapezoid = \mathbf{\dfrac{Sum \ of \ length \ of \ parallel \ sides}{2} \times Height}[/tex]

Which gives;

[tex]\mathbf{Area \ of}\ the \ \mathbf{table} = \dfrac{2.5 + 1.5}{2} \times 1.25 = 2.5[/tex]

The area of the = 2.5 m²

Learn more about the properties of a trapezoid here:

https://brainly.com/question/4758162

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