The answer is that the perimeter depends on the side length
48m^7
-----------
20m^4
= (48/4) m^7
---------------
(20/4)m^4
=12m^7
-------------
5m^4
=12m^(7-4)
---------------
5
=12m^3
-------------
5
First you want to make an equation to express the problem. For this one in particular, let's make the length be represented by "L" and the width "W."
The length minus three times the width is 1 foot. This can be represented as L - 3W = 1. This means that L = 3W + 1. This will be our substitute for the length.
The perimeter of a rectangle is 2 times the length plus the width P = 2(L + W). By substituting these variables from what we now know we can find out the dimensions of the rectangle.
42 = 2(3W + 1 + W)
42 = 6W + 2 + 2W Multiply <u>everything in parenthesis</u> by 2.
42 = 8W + 2 Add the like terms.
40 = 8W Subtract 2 on both sides to get the <em>variable (W) </em>by itself.
5 = W Divide 8 from 40 to get what W equals.
The width is equal to 5. We can now plug in this answer to the original equation (P = 2(L + W)) or the length equation we made earlier (L = 3W + 1) to find the length.
42 = 2(L + 5)
42 = 2L + 10 Multiply <u>everything in parenthesis<em /></u><u><em /></u> by 2.<u />
32 = 2L Subtract 10 from both sides to get the <em>variable (L) </em>by itself.
16 = L Divide 2 from 32 to get what L equals.
<u>Or</u><u />
L = 3(5) + 1 Replace the <em>variable (W) </em>with 5.
L = 15 + 1 Multiply 3 by 5 to get 15.
L = 16 Add the remaining terms!
So the dimensions of the rectangle are 5 and 16, where 5 is the width and 16 is the length. I hope this answer made sense and that you can solve these on your own in the future!
7. 65.875
8. 923.25
Hope this help you
Yoko would drive 754 miles in 13 hours.
First you would have to find how many miles Yoko drives per hour so you divide 522 miles/9 hours to get 58 miles per 1 hour. Then you multiply 58 * 13 to get 754 miles.
