Question

Celeste is planting a rectangular flower garden in which the width will be 4 feet less than its length. She has decided to put a birdbath within the garden that will occupy a space 3feet by 4 feet how many feet are now left for planting? Express your answer on factored form

Answer 1

(L-6)(L+2)

Explanation:

Let L be the length of the flower garden.

Then the width will be L-4.

The area of the flower garden = L*(L-4) =L²-4L

The area of the birdbath is 3*4 = 12 ft²

The area of the remaining space for planting is

= Area of flower garden - area of birdbath

• L² - 4L - 12

We can factor the expression as follows:

• L² - 4L - 12
• L²-(6-2)L-12
• L²-6x+2x-12

taking common frome each two terms

• L(L-6)+2(L-6)
• (L-6)(L+2)

Therefore, the number of feet left for planting is (L-6)(L+2) in factored form.