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4 years ago

9

Please help with the top question !

2 answers:

Paha777 [63]4 years ago

7 0

Answer 13.3

Step by step explanation:

My name is Ann [436]4 years ago

6 0

9514 1404 393

Answer:

13.3 m

Step-by-step explanation:

Let d represent the length of the diagonal. Then the length of the rectangle is (d-2) and the width is (d-6). The area is the product of length and width, so is ...

A = LW

83 = (d -2)(d -6) = d² -8d +12

71 = d² -8d . . . . . . . . subtract 12 to get the constant out of the way

d² -8d +16 = 87 . . . . add (-8/2)² = 16 to both sides to complete the square

(d -4)² = 87 . . . . . . . write as a square

d -4 = √87 . . . . . . . positive square root

d = 4 +√87 ≈ 13.3 . . . . add 4

The diagonal is about 13.3 meters long.

_____

<em>Additional comment</em>

If you check to see if the side lengths actually correspond to those of a rectangle, you find that they do not. <em>The geometry described here is impossible</em>. The rectangle with the proposed relations between sides and diagonal would have a diagonal of about 12.899 m and an area of about 75.19 m².

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