Question

Emily has a rectangular deck in her backyard with an area of 96 square feet. She wants to increase.

the size of the deck by doubling each dimension. What will the area of the deck be after she doubles the length and width?

Answer 1

The area of the deck after she doubles the length and width will be of 384 square feet.

Explanation:

Area of a rectangle:

The area of a rectangle of length l and width w is given by:

`A = lw`

Doubling length and width:

If we double the length and the width, the dimensions are 2l and 2w. Thus, the area will be of:

`A_d = 2l*2w = 4lw`

That is, if both dimensions are doubled, the area is multiplied by 4.

What will the area of the deck be after she doubles the length and width?

Was 96. Then, both dimensions were doubled, and the area has to be multiplied by 4.

96*4 = 384

The area of the deck after she doubles the length and width will be of 384 square feet.