Question

Chandrika has a rectangular garden with length 2 feet greater than its width, w. She decides to increase both dimensions by 3 feet.

Which equation represents the new area, A, of the enlarged garden?

a. A=(w+2)(w+3)
b. A=(w+2)(w+6)
c. A=(w+3)(w+3)
d. A=(w+3)(w+5)

Answer 1

The equation that represents the new area of the enlarged garden is d. A=(w+3)(w+5).

Step-by-step explanation:

To find the equation that represents the new area of the enlarged garden, we need to first express the dimensions of the original garden in terms of w (the width of the garden). Since the length is 2 feet greater than the width, the length can be expressed as w+2. Therefore, the dimensions of the original garden are w and w+2.

The student then decides to increase both dimensions by 3 feet, so the new dimensions of the garden are w+3 and w+5. The area of a rectangle is calculated by multiplying its length and width, so the equation that represents the new area of the enlarged garden is A = (w+3)(w+5).

Therefore, the correct answer is (d) A=(w+3)(w+5).