Question

Monique is painting a superhero with this belt buckle shown. What is the area of the belt buckle in square inches.3 inches1.5 inches1.5 inchesThe area in square inches is.___

Answer 1

The belt buckle is shown as comprising of a rectangle and two triangles.

The rectangle has dimensions, 3 inches by 1.5 inches. The triangle has dimensions 1.5 inches (base) by 1.5 inches (vertical height).

The area of the rectangular portion is;

`\begin{gathered} A=l* w \\ A=3*1.5 \\ A=4.5in^2 \end{gathered}`

The area of the triangular portion is;

`\begin{gathered} A=(1)/(2)b* h \\ A=(1)/(2)*1.5*1.5 \\ A=(1)/(2)*2.25 \\ \text{For the area of both triangles it now becomes;} \\ 2A=2((1)/(2)*2.25) \\ 2A=2.25in^2 \end{gathered}`

The total area of the belt buckle is therefore,

Area = 4.5 + 2.25

Area = 6.75 inches squared