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2 years ago

I need help please I need it

Mathematics

1 answer:

SashulF [63]2 years ago

4 0

Step-by-step explanation:

It asks you to choose values for w, the width, and evaluate the equation for each. It describes the constraint "the perimeter of 20 units" The perimeter of a rectangle is the length of all the lines of a regtangle.

2L + 2W = 20 reduce this to simplest for by dividing both sides by 2;

L + W = 10, so the length plus the width is 10. Rearrange it to be W = 10 - L. Values of W can range from 1 to 9. Now sove for a few points in the function.

f(W) = 10W - W^2

3; 10(3) - 3^2 = 30 - 9 = 21.

If we look at the constraint, L = 10 - W, when the width is 3 the length must be 7. The area of a rectangle is L x W, 3 x 7 = 21. That checks against the function.

Solve for additional points.

4; 10(4) - 4^2 = 40 - 16 = 24.

If W is 4 the L is 6 and 4 x 6 = 24

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