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r-ruslan [8.4K]
3 years ago
9

Megan wants to retile her bathroom floor. If the home improvment store sel

Mathematics
1 answer:
viktelen [127]3 years ago
8 0

Answer:

$79.69

Step-by-step explanation:

Include units of measurement:

$2.49

---------- * 32 ft^2 = $79.68 (cost of all the tile required)

 1 ft^2

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Rhombus ABCD has perimeter 148, and one of its diagonals has length 24. How long is the other diagonal?
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Answer:

70 units.

Step-by-step explanation:

The 4 sides of a rhombus are equal so each side has length 148 /4

= 37 units. The diagonals bisect each other at right angles so when we draw the 2 diagonals we have 4 congruent right-angled triangles.

So consider one of these triangles:

The hypotenuse is 37 units and one of the legs = 1/2 * 24 = 12 units ( half of the diagonal of length 24).

So the other leg is found using Pythagoras:

x^2 = 37^2 - 12^2 = 1225

x = 35.

This is half of the other diagonal so the latter  = 70 units.

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