SOLUTION: [ A long wire is cut into three smaller pieces in the ratio of 7:3:2. if the shortest piece is 16 cm, what is the area of the rectangle with the largest area that can be created us

Question 816660: [ A long wire is cut into three smaller pieces in the ratio of 7:3:2. if the shortest piece is 16 cm, what is the area of the rectangle with the largest area that can be created using the longest piece? ]
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
a = (7/12)L
b = (3/12)L
c = (2/12)L
---
c = 16 cm
c = (2/12)L
16 = (2/12)L
---
L = 16(12/2)
L = 96 cm
---
a = (7/12)L
a = (7/12)96
a = 56 cm
---
b = (3/12)L
b = (3/12)96
b = 24 cm
---
a is the longest piece at 56 cm
---
what is the area of the rectangle with the largest area that can be created using the longest piece?
it's actually a square, so:
L = w = (1/4)56
L = w = 14
a = Lw = 14^2
a = 196 sq.cm
---
Solve and graph linear equations:
https://sooeet.com/math/linear-equation-solver.php
---
Solve quadratic equations, quadratic formula:
https://sooeet.com/math/quadratic-formula-solver.php
---
Convert fractions, decimals, and percents:
https://sooeet.com/math/fraction-decimal-percent.php
---
Calculate and graph the linear regression of any data set:
https://sooeet.com/math/linear-regression.php
RELATED QUESTIONS
pls help me to answer, A long wire is cut into three smaller pcs in the ratio of 7:3:2.... (answered by rothauserc)

A 2-metre long wire is cut into 5 pieces. three of the shorter pieces have lenghts in cm, (answered by josmiceli)

solve A) the circumference of a circle is 2,500 cm. Find its diameter and its area (... (answered by colliefan,checkley77)

A piece of wire 16 cm long is cut into two pieces, with the first piece having length x.... (answered by solver91311)

A 30 cm piece of wire is cut in two. Once piece is bent into the shape of a square and... (answered by josgarithmetic)

A piece of wire was cut into 2 pieces in the ratio 4:7. The longer piece was 42 cm .... (answered by addingup)

A piece of wire is 90 cm long. It has to be cut into two piece such that one piece is 2/3 (answered by josgarithmetic)

A rope is cut into 3 parts in the ratio 1:4:5. The longest pieces is the cut into 3... (answered by greenestamps,Edwin McCravy)

Miguel needs to cut his 40 cm piece of yarn into three smaller pieces. The longest piece (answered by stanbon)