Question

13)The figure shows three lots in a housing. If theboundary lines separating the lots are parallel,what is GF to the nearest tenth?62 ft B 75 ft C 66 ftAG66 11

Answer 1

GF = 79.8

Explanation:

The shape is divided by parallel lines. This means the ratio of corresponding sides will be applied.

Proportion ratio:

AB/BC = HG/GF

AB = 62ft, BC = 75ft

HG = 66ft, GF = ?

$\frac{62}{75}=\frac{66}{GF}$$\begin{gathered} \text{cross multiply:} \\ GF(62)\text{ = 66(75)} \\ GF(62)\text{ =}4950 \\ GF\text{ = 4950/62} \end{gathered}$$\begin{gathered} GF\text{ = 79.84} \\ To\text{ the nearest tenth, GF = 79.8} \end{gathered}$