Question

Lila is planning to build a rectangular garden in her backyard. She wants the length to be twice the width plus 5 metersIf the area of her garden is 250 square metersthen what is the width? point)

Answer 1

Let the width of the garden be 'w' meters.

So, the length of the garden would be 2w + 5 meters.

We know that the area of a rectangle is given by length times width, so:

Area = Length x Width
250 = (2w + 5) x w
250 = 2w^2 + 5w

Now we have a quadratic equation. Rearranging and setting it equal to zero:

2w^2 + 5w - 250 = 0

We can factorize the equation or use the quadratic formula to solve for 'w'. Factoring, we get:

(2w - 25)(w + 10) = 0

Setting each factor to zero, we get:

2w - 25 = 0 or w + 10 = 0
w = 25/2 or w = -10
w = 12.5 meters (width can't be negative)

Therefore, the width of the garden is 12.5 meters.