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Nat2105 [25]
2 years ago
8

In a triangle the base is 4/7 the height and their sum is 110cm. A square is 7/8 of the triangle. Calculate the perimeter of the

square​
Mathematics
2 answers:
rusak2 [61]2 years ago
8 0

Answer:

  • 60 cm

Step-by-step explanation:

Let the height is x, the the base is 4/7x.

<u>Their sum is 110 cm:</u>

  • x + 4/7x = 110
  • 11/7x = 110
  • x = 70

<u>The base is:</u>

  • 110 - 70 = 40 cm

<u>The area of the triangle is:</u>

  • A = 1/2bh = 1/2*70*40 = 1400 cm²

<u>Area of the square:</u>

  • 1400*7/8 = 1225 cm²

<u>Side of the square:</u>

  • √1225 = 15 cm

<u>Perimeter of the square:</u>

  • 15 cm * 4 = 60 cm
Likurg_2 [28]2 years ago
3 0

Perimeter is the continuous line forming the boundary of a closed geometric figure.The formula to find perimeter is (length+width)x2

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