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liraira [26]
2 years ago
6

The area of a storage shed floor is 20 ft2. The length is 3 more than twice the width. Find the dimensions of the storage shed f

loor
Mathematics
1 answer:
vladimir1956 [14]2 years ago
8 0

Answer:

  • 2.5 ft wide
  • 8 ft long

Step-by-step explanation:

The given relation between length and width can be used to write an expression for area. The equation setting that equal to the given area can be solved to find the shed dimensions.

__

<h3>Given relation</h3>

Let x represent the width of the shed. Then the length is (2x+3), and the area is ...

  A = LW

  20 = (2x+3)(x) . . . . . area of the shed

__

<h3>Solution</h3>

Completing the square gives ...

  2x² +3x +1.125 = 21.125 . . . . . . add 2(9/16) to both sides

  2(x +0.75)² = 21.125 . . . . . . . write as a square

  x +0.75 = √10.5625 . . . . . divide by 2, take the square root

  x = -0.75 +3.25 = 2.50 . . . . . subtract 0.75, keep the positive solution

The width of the shed is 2.5 feet; the length is 2(2.5)+3 = 8 feet.

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Question 11-(3 marks available)
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Answer: 1080 cm^{2}

Determine the values of b1, b2, and b3, the sides of the triangular base. Also determine the value of h, the height of the triangular base and l, the length of the prism (the length between the bases).

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b2 = 14 in.

b3 = 15 in.

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