Question

Olivia's father is going to build a new deck in the backyard he draws his design for the deck what is the area of the deck

Answer 1

The deck is the shape of a trapezium.

The perpendicular distance between the sides, h=3 m.

The length of parallel sides, l1=4 m, l2=6 m.

The area of a trapezium shaped deck is,

`\begin{gathered} A=(1)/(2)(l_1+l_2)h \\ A=(1)/(2)(4+6)*3 \\ A=(1)/(2)*10*3 \\ A=15m^2 \end{gathered}`

Therefore, the area of the deck is 15 square meters.