the length of a rectangle is 4 unit less than the width. which expression represents the perimeter of the rectangle
1 answer:
Answer:
Length: 11
Width: 5
Step-by-step explanation:
Let W = width
Let L = length
Length is 4 less than 3 times the width ==> L = 3*W - 4
Let P = Perimeter = 2*W + 2*L
Perimeter is 22 more than twice the width ==> P = 2*W + 22
Setting the 2 expressions for the perimeter equal to each other gives
2*W + 2*L = 2*W + 22
2*L = 22
L = 11
So 11 = 3*W - 4
3*W = 15
W = 5
The length is 11 and the width is 5
Check: 3*W - 4 = 11 = Length
Perimeter = 32 = 22 more than 2*5 = 10
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Answer:
a/3 = b/2
a/b = 2/3
I guess you wanna know a:b
So it's 2:3
Answer:
y = 5/3
x = 8/3
Steps:
y = x - 1
2x + y = 7
Substitute y = x-1
(2x + x - 1 = 7)
Simplify: 3x - 1 = 7
Isolate x: 3x - 1 = 7: x=8/3
Plug the valuse of x into the other equation (y = x- 1): y = 8/3 - 1
8/3 - 1 = 5/3
y = 5/3
y = 5/3, x = 8/3
Just subtract and then add then you should get your answer.
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