Question

Rectangular swimming pool has an area of (70x + 10) square feet. Find possible dimensions of the pool.

Question 12 options:

10x feet and (7 + x) feet

10 feet and (7 + x) feet

10x feet and (7 + 10) feet

10 feet and (7x + 1) feet

Answer 1

10 feet and (7x + 1) feet

Explanation:

Answer 2

a rectangle's area is simply width * length, so is the product of two factors.

in this case, we know that product, is 70x + 10, so, how can we tease out the factors from it?

well, our GCF from 70x and 10 is "10", but 10 itself is factorable into "2" and "5", so we can simply use that GCF and troupe to see what it might be.

`\bf \stackrel{\textit{common factor of 10}}{\stackrel{width}{10}\stackrel{length}{(7x+1)}}~\hfill \stackrel{\textit{common factor of 2}}{\stackrel{width}{2}\stackrel{length}{(35x+5)}}~\hfill \stackrel{\textit{common factor of 5}}{\stackrel{width}{5}\stackrel{length}{(14x+2)}}`