Which equation would best help solve the following problem?

Adina has a rectangular garden that measures 9 m wide by 13 m long. She wants to increase the area to 192 m2 by increasing the width and length by the same amount. What will be the dimensions of the new garden?
a. 192 = (9)(13)
b. 192 = (9)(13 + x2)
c. 192 = (9 – x)(13 – x)
d. 192 = (9 + x)(13 + x)

Question

Which equation would best help solve the following problem?

 

Adina has a rectangular garden that measures 9 m wide by 13 m long. She wants to increase the area to 192 m2 by increasing the width and length by the same amount. What will be the dimensions of the new garden?
a. 192 = (9)(13)
b. 192 = (9)(13 + x2)
c. 192 = (9 – x)(13 – x)
d. 192 = (9 + x)(13 + x)

brunsonni · Answer

D I think

anonymous · Answer

lets break this down into parts:
the equation for Area of a rectangle is:
A=L*W
We know the Length is L = 13 and the Width is W = 9
So as is, the area is A=13*9=117 m^2

We want to add a bit to each side. Lets call that unknown amount "x"
We end up with something like whats shown below:
|dw:1432943421110:dw|

Can you write an equation for the new length and the new width?