Question

Elsa builds her own triangular frames for paintings. She has one frame with a length of 60 centimeters and a height of 45 centimeters. She builds a second frame with an equivalent ratio of length to height. If the length of her second frame is 100 centimeters, what is its height?

Answer 1

we are required to find the height of the second frame

The height of the second frame is 75 centimeters

Given:

Frame 1:

Length = 60 centimeters

Height = 45 centimeters

Frame 2:

Length = 100 centimeters

Height = x centimeters

Ratio of length to ratio of heights

60 cm : 45 cm = 100 cm : x cm

60 / 45 = 100 / x

cross product

60 × x = 45 × 100

60x = 4500

x = 4500 / 60

x = 75

Therefore, the height of the second frame is 75 centimeters

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