SOLUTION: 1. The length of a rectangle is 4 times the width. The perimeter is 120cm. Find the width and the length of the rectangle. 2. The length of a rectangle is 7m greater than the

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Question 272895: 1. The length of a rectangle is 4 times the width. The perimeter is 120cm. Find the width and the length of the rectangle.
2. The length of a rectangle is 7m greater than the width. The perimeter is 110m. Find the length and width of the rectangle.
3. The width of a rectangle is 8cm less than the length. The perimeter is 96cm. Find the length and width of the rectangle.
4. The perimeter of a triangle is 110cm. Side x of the triangle is four times as long as side y. Side z is 2cm longer than side x. Find the length of each side.
5. The first side of a triangle is 6m shorter than the second side. The third side is 3 times as long as the first side. The perimeter of the triangle is 206m. Find the length of each side.
6. The third side of an isosceles triangle is 20m shorter than twice the length of the congruent side. The perimeter is 240m. Find the length of each side.
Answer by JBarnum(2146)   (Show Source): You can put this solution on YOUR website!
First off #1 is the same as #2 and #3 so you sould be able to solve #2 and #3 after seeing how to do #1. #4 and #5 are the same type of problem, i will do #5.
1. The length of a rectangle is 4 times the width. The perimeter is 120cm. Find the width and the length of the rectangle.


Substitute and solve









5. The first side of a triangle is 6m shorter than the second side. The third side is 3 times as long as the first side. The perimeter of the triangle is 206m. Find the length of each side.
x is first, y is second, and z is third


Use substitution and solve for y first

simplify by adding like terms
add
add
divide

solve the other equations with y=46


then



First side=
second side=
third side=


6. The third side of an isosceles triangle is 20m shorter than twice the length of the congruent side. The perimeter is 240m. Find the length of each side.
We know that an isosceles triangle has 2 equal sides
so the first and second side are = to each other.
so if P=x+y+z and x=y then P=x+x+z=2x+z if P=240 AND z=2x-20 then:
add
add
divide

so







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