Question

The perimeter of the rectangle is 24 and the perimeter of the triangle is 23. The equations for the triangle is x+1, x+y, and y+6. The equations for the rectangle is x and 3y. Write an equations to that represents the perimeter of the triangle. Write an equation in standard form the represents the perimeter of the rectangle. Write a system of linear equations to represent the problem. The solve the system of linear equations to find x and y.

Answer 1

alright, I can help you out with the first part, then you'll be able to figure out the last pasrt, okay? ^_^ so:

Given:

P(rectangle) = 24
L = 3y
w = x
General perimeter equation of rectangle = 2L + 2w
P = 2(3y) +2x
= 6y+2x

--------------------------

P(triangle) = 23
S1(side1) = x+1
S2(side2) = x+y
S3(side3) = y+6

General equation of triangle's perimeter = S1 + S2 + S3
P = x+1 + x+y + y+6
= 2x +2y + 7


Now if you understand what I have done here, then you'll be able to proceed with the second part ^_^ good luck~ :)