Question

The real estate term lake frontage refers to the distance along the edge of a piece of property where it touches a lake. Determine the lake frontage of lot b to the nearest tenth Image down below

Answer 1

The lake frontage of plot B is about 73.5 yds

Step-by-step explanation:

To determine the lake frontage of lot B, we will apply similar shapes theorem

In similar shapes, the ratio of corresponding sides are the same.

The arrows with same colour represent corresponding sides

Considering the whole property:

192 yd corresponds to the length (45 + 62 + 55)

192 yd corresponds to 162 yd

Considering Lot B:

let the frontage of Lot B = B

th frontage corresponds to the length 62 yd

The ratio of corresponding sides:

`\frac{192\text{ yd}}{162\text{ yd}}\text{ = }\frac{B}{62\text{ yd}}`

cross multiply:

`\begin{gathered} 192(62)\text{ = B(162)} \\ 11904\text{ = 162B} \\ \\ \text{Divide both sides by 162:} \\ (11904)/(162)\text{ = }\frac{\text{162B}}{162} \\ B\text{ = 73.48} \\ \\ To\text{ the nearest tenth, B = 73.5 yd} \end{gathered}`