Question

Which equation would best help solve the following problem? Tyler has a rectangular garden that measures 10 m wide by 13 m long. He wants to increase the area to 208 m² by increasing the width and length by the same amount. What will be the dimensions of the new garden?

A
208 = (10 + x2)(13)

B 208 = (10 +13)x

C
208 = (10 + x)(13 + x)

D
208 = (10)(13)

Answer 1

C 13m × 16m

Explanation:

First you expand the brackets to make it:
`x^2 + 23 x + 130 = 208`.

Then you would use the quadratic formula to find x which is 3. Substitute x into the original equation:
`208 = (10 + 3)(13 + 3)` to find your dimensions which are 13m and 16m.