Respuesta :

[tex]\bf \textit{area of a rectangle}\\\\ A=Lw~~ \begin{cases} L=length\\ w=width\\[-0.5em] \hrulefill\\ A=210\\ w=10\\ L=d+9 \end{cases}\implies 210=(d+9)(10)\implies \cfrac{210}{10}=d+9 \\\\\\ 21=d+9\implies 12=d[/tex]

abidemiokin

The length d of the deep end is 12 feet

Surface area is the total sum of all the faces of an object. The swimming pool is rectangular in nature.

Area of its surface = LW

L is the length

W is the width

Given the following

Area = 210 square feet

Length = 10 feet

Width = (d+9)feet

Substitute into the formula:

210 = 10(d+9)

210 = 10d + 90

10d = 210 - 90

10d = 120

d = 120/10

d = 12feet

Hence the length d of the deep end is 12 feet

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