The length of a picture frame is 1cm less than twice the width(frame is NOT a square). The area is 28cm^2. Find the length and width of the picture frame.

length is 7cm, and the width is 4cm

Step-by-step explanation:

The length of a picture frame is 1cm less than twice the width(frame is NOT a square). The area is 28cm^2. Find the length and width of the picture frame.

The area of the frame = Length * Width

A = LW

If the length of a picture frame is 1cm less than twice the width, then;

L = 2W - 1

Substitute into the formula;

A = (2W-1)W

A = 2W^2 - W

28 = 2W^2 - W

2W^2 - W - 28 = 0

2W^2 - 8W +7W- 28 = 0

2W(W-4)+7(W-4) = 0

2W+7 = 0 and W - 4 = 0

W =- -7/2 and W = 4

Width cannot be negative

W = 4cm

Since A = LW

L = A/W

L = 28/4

L = 7cm

Hence the length is 7cm, and the width is 4cm

a box 3 3/4 feet long or 4+ feet.

step-by-step explanation:

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

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