a field is in the shape of a quadrilateral ABCD a b is equal to 127m BC is equal to 206m CD is equal to 3 32 m a d is equal to 94 M BD is equal to 183 calculate its area
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Answer:
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Step-by-step explanation:
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Answer:
You need to use your information about area and perimeter to set up two equations with two variables representing length and width of the rectangle. Then you will set up a quadratic equation. Let's use L for the length and W for the width of the rectangle:
For the perimeter:
2L+2W = 66 or
L+W = 33 or
W33-L
For the area:
LW = 252
Now substitute W = 33-L from the first equation into the second one:
L(33 L) 252 or
33L-L2= 252 or
L2-33L +252 = 0
This can be solved by factoring, or by using the quadratic equation.
By factoring:
(L-12)(L-21) = 0 or
L = 12, or L = 21
In this case, let's use 21 because length is usually the longer dimension. Now we substitute L = 21 into the first equation to find W.
W = 33 - 21 or
W = 12
Your answers are: Length = 21 and Width = 12
Step-by-step explanation:
Hope helps