Question

A triangle is made by cutting a diagonal on rectangle 33 1/3% longer than its width. If the area of the triangle is 54cm^2, determine the lengyh and width of the original rectangle

*please include solution too.

Answer 1

33 1/3 % = 1/3
so if width of rectangle is w, then diagonal is (4/3)w

Are of triangle is half the Area of rectangle
--> w*h = 108

then use pythagorean thm
w^2 + h^2 = (4/3)^2 w^2
h^2 = 7/9 w^2
h = (sqrt7 /3)w

--> (sqrt7/3)w^2 = 108
--> w = 18/7

--> h = 6sqrt7/7

Answer 2

umm sorry , my final answers are wrong but all the steps are correct
trying to solve in my head :|