Answer:
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
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: https://brainly.com/question/11687957
Factorise the above expression
