I am building a retaining wall in the back of my house. I have chosen to build 2 triangular walls because triangles are the strongest shape. Unfortunately the bricks I need to use only come in packages for rectangular walls. Each triangular wall is 8 meters on the bottom and 9 meters high. I have decided that I will buy a package of bricks for a rectangle. Luckily I was able to do the math to purchase the correct package. I have found that I will have two triangular walls with an area of 40 meters squared each. I purchased a package for a rectangular wall with an area of 80 meters squared. I will have the perfect amount of bricks to build my retaining wall. Good mathematicians are good detectives. I want you to either prove or disprove my maths. Do I have enough bricks? Do I have too many bricks? Prove to me that I am either correct, or that I am incorrect.

Student Instructions

### Week 4 Extension Problem

Is Mr. Warren correct? I am building a retaining wall in the back of my house. I have chosen to build 2 triangular walls because triangles are the strongest shape. Unfortunately the bricks I need to use only come in packages for rectangular walls. Each triangular wall is 8 meters on the bottom and 9 meters high. I have decided that I will buy a package of bricks for a rectangle. Luckily I was able to do the math to purchase the correct package. I have found that I will have two triangular walls with an area of 40 meters squared each. I purchased a package for a rectangular wall with an area of 80 meters squared. I will have the perfect amount of bricks to build my retaining wall. Good mathematicians are good detectives. I want you to either prove or disprove my maths. Do I have enough bricks? Do I have too many bricks? Prove to me that I am either correct, or that I am incorrect.