Consider the original trapezoid and the reduction. What is the lenght of side A, in centimeters, on the reduced trapezoid?

Question

asked Oct 11, 2018 3.1k views

2 Answers

Oliverkn · Answer 1 · 2018-10-17T07:24:50+0000

Answer:

the length of side A is 2 cm

Explanation:

Hello

you can solve this by using a rule of three

According to the graph, the trapezoid must be proportional ,it means it is possible do the relationships and isolate the data we don't know

if

3 cm ⇒16.5 centimeters

Acm? ⇒11 centimeters

$(3)/(16.5)= (A)/(11)\\ isolating\ A\\A= (3*11)/(16.5) \\A=(33)/(16.5)\\ A=2$

the length of side A is 2 cm

you can use the other length to prove

if

3 cm ⇒13.5 centimeters

Acm? ⇒9 centimeters

$(3)/(13.5)= (A)/(9)\\ isolating\ A\\A= (3*9)/(13.5) \\A=(33)/(16.5)\\ A=2$

I hope it helps,Have a fantastic day.