Question

The diagram at the right represents an acrobat’s sequence on a tightrope, where m represents the distance in feet that she covers each time she does a leap.A.) Write and solve an equation to find the length of each leap.B.) How long is the tightrope?

Answer 1

A) The equation is

m + 1 + 5 + 1 = m + m + 4

On solving,

m = 3 feet

B) Length of the rope = 10 feet

Step-by-step explanation

From the image, we can tell that the ropes in the two cases have the same total length.

So, to solve for m and subsequently solve for the length of the rope, we just need to equate the total lengths in the two cases

A) The equation is thus

m + 1 + 5 + 1 = m + m + 4

m + 7 = 2m + 4

m - 2m = 4 - 7

-m = -3

m = 3 feet

B) For the length of the rope, we just need to take one of these two

Length of the rope = m + 1 + 5 + 1

m = 3

Length of the rope = m + 1 + 5 + 1

Length of the rope = 3 + 1 + 5 + 1 = 10 feet

Hope this Helps!!!