The length of the top of a work bench is 5 m greater than the width. The area is 66 m^2. Find the length and the width.
3 answers
Whats your answer then we will check it.
L = the length
W = the width
A = the area
L = W + 5
A = L ∙ W
66 = ( W + 5 ) ∙ W
66 = W² + 5 W
Subtract 66 to both sides
66 - 66 = W² + 5 W - 66
0 = W² + 5 W - 66
W² + 5 W - 66 = 0
The solutions are:
W = - 11 and W = 6
The width can't be negative, so W = 6 m
L = W + 5
L = 6 + 5
L = 11 m
A = L ∙ W
A = 11 ∙ 6
A = 66 m²
W = the width
A = the area
L = W + 5
A = L ∙ W
66 = ( W + 5 ) ∙ W
66 = W² + 5 W
Subtract 66 to both sides
66 - 66 = W² + 5 W - 66
0 = W² + 5 W - 66
W² + 5 W - 66 = 0
The solutions are:
W = - 11 and W = 6
The width can't be negative, so W = 6 m
L = W + 5
L = 6 + 5
L = 11 m
A = L ∙ W
A = 11 ∙ 6
A = 66 m²
Thank you so much Bosnian!!
1 answer