Help please! quantitative reasoning

Question

The area of Tom's garden, which has a width of 7 ft is twice as large as Ben's garden, who has a width of 5 ft. Find the lengths of the gardens if Ben's garden is 2 feet shorter than Tom's.

 

 

Equation: 7(x+2)=2(5x)

 

What does the x represent?

 

What does the x+2 represent?

 

And what does the 7(x+2) represent?

Answer 1

x represents the length of Ben's yard.

 

x + 2 represents the length of Tom's yard

 

7(x + 2) represents the width of Tm's yard times the length of Tom's yard.

 

Do you understand?

 

w of T = 7

 

A of T = A of B

   2

 

w of B = 5

 

l of T = l of B + 2

 

w of T times l of Tom = w of B times l of B

          2

 

Substitute and solve to get answers above.