A rectangular table for the dining room has a surface area of 24 square feet. The length is two more feet than twice the width of the table. Find the length and width of the table.

The rectangular table has a width of 3cm and a length of 8cm.

The area of a rectangle = length x width

w = width

length = 2 + 2w

(2 + 2w) x w = 24

To determine the dimensions, take the following steps:

expand the bracket

2w + 2w² = 24

2w + 2w - 24 = 0

2w(w + 4) ; -6(w + 4)

w is either 6/2 = 3

or - 4

Dimensions cannot be negative so the width is 3

Length = 2 + 2(3)

2 + 6 = 8 feet

To learn more about how to calculate the area of a rectangle, please check: link

Factorise the above expression

W=3 feet, L=8 feet

Step-by-step explanation:

W=W

L=2W+2

W(2W+2)=24

2W²+2W=24

2W²+2W-24=0, now factor

(2W+8)(W-3)=0

2W+8=0, 2W=-8, w=-4 ; dimension can't be negative

W-3=0, W=3, W = 3 feet

L=2(3)+2 = L = 8 feet

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step-by-step explanation:

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