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kaylagoof4140
16.12.2019 •
Mathematics
The area of a rectangle is 192 in squared. the ratio of the length to the width is 4 : 3. find the length and the width.
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Ответ:
L = 16 inches , W = 12 inches
Step-by-step explanation:
Area = 192![in^{2}](/tpl/images/0421/0603/dae19.png)
Ratio of length to the width = 4 : 3
This means that L =
W
Area of a rectangle = Length x width
Substituting A = 192 and L =
W into the formula for calculating area of rectangle , we have
192 =
W x W
192 =![\frac{4W^{2} }{y}](/tpl/images/0421/0603/7b736.png)
192 X 3 =![4W^{2}](/tpl/images/0421/0603/09933.png)
576 =![4W^{2}](/tpl/images/0421/0603/09933.png)
Divide through by 4
144 =![W^{2}](/tpl/images/0421/0603/d30ca.png)
Take the square root of both sides
Therefore :
W = 12 inches
Substitute W = 12 into L = 4/3W , which means
L = 4/3 X 12
L = 16 inches
Therefore :
Length = 16 inches and Width = 12 inches
Ответ:
Step-by-step explanation:
To solve, you're gonna have to multiply 4 times.
Since
is
, you will have to multiply
by
.
Your answer is
.
Hope this helps!