Question

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​

Answer 1

• 60 cm

Explanation:

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

Their sum is 110 cm:

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

The base is:

• 110 - 70 = 40 cm

The area of the triangle is:

• A = 1/2bh = 1/2*70*40 = 1400 cm²

Area of the square:

• 1400*7/8 = 1225 cm²

Side of the square:

• √1225 = 15 cm

Perimeter of the square:

• 15 cm * 4 = 60 cm