Question

A diagram of a lot of land the scale on the diagram is 1 cm represents 2.5 yards what is the area of the actual lot of land

Answer 1

In order to determine the area of the lot of land in squared yards, proceed as follow:

Convert the dimensions of the rectangle to yards, by using the given conversion factor:

$\begin{gathered} 7\operatorname{cm}\cdot\frac{2.5yd}{1\operatorname{cm}}=17.5yd \\ 15\operatorname{cm}\cdot\frac{2.5yd}{1\operatorname{cm}}=37.5yd \end{gathered}$

Next, consider that the area of the lot is the area of a rectangle. Replace the previous values of the length and the width of the rectangle:

$A=(17.5yd)(37.5yd)=656.25yd^2$

Hence, the area of the lot of land is 656.25 sq yd