Question

Check my workA homeowner is told that she must increase the height of her fences 43.0% if she wants to keep the deerfrom jumping in to eat the foliage and blossoms. If the current fence is 4.98 m high, how high must the newfence be?_m

Answer 1

Given:

the height of the fence is

$h=4.98\text{ m}$

43.0% is an increase in the height of the fence.

Required: height of the new fence

Explanation:

as we increased the height of the fence by 43.0 % then the increment in the height of the fence will be

$\begin{gathered} H=h\times43.0\% \\ H=4.98\text{ m}\times\frac{43.0}{100} \\ H=2.14\text{ m} \end{gathered}$

now the total new height of the fence will be

$\begin{gathered} h=2.14\text{ m+4.98} \\ h=7.12\text{ m} \end{gathered}$

Thus, the new height of the fence will be 7.12 m.