You design a tree house using a coordinate plane. You plot the vertices of the floor at J(1, 1), K(1, 8), L(9, 8), and M(9, 1). The coordinates are measured in feet. What is the area of the tree house?
Question
You design a tree house using a coordinate plane. You plot the vertices of the floor at J(1, 1), K(1, 8), L(9, 8), and M(9, 1). The coordinates are measured in feet. What is the area of the tree house?
Solution
The area of the tree house can be found by calculating the area of the rectangle formed by the vertices J, K, L, and M.
Step 1: Find the length of the rectangle. The length is the distance between points J and M or points K and L. Using the formula for distance between two points (d = sqrt[(x2-x1)² + (y2-y1)²]), we find that the length is sqrt[(9-1)² + (1-1)²] = 8 feet.
Step 2: Find the width of the rectangle. The width is the distance between points J and K or points M and L. Using the same formula, we find that the width is sqrt[(1-1)² + (8-1)²] = 7 feet.
Step 3: Calculate the area of the rectangle. The area of a rectangle is given by the formula A = length * width. So, the area of the tree house is A = 8 feet * 7 feet = 56 square feet.
Similar Questions
You design a tree house using a coordinate plane. You plot the vertices of the floor at J(1, 1), K(1, 9), L(9, 9), and M(9, 1). The coordinates are measured in feet. What is the perimeter of the tree house?Question 23Select one:a.30 feetb.28 feetc.32 feetd.64 feet
Calculate the distance from the top of this tree to the point on the ground that is 9.5m from the base of the tree.(Round your answer to one decimal place and put numbers only in the box with no units.)
3 trees are located is a sample plot of 15m X 15m. their dbh are as under:dbh= 25cm, 30cm, 35cm find the stand basal area in sq m per Ha
The diagram shows a the roof of a shed from the side.George must determine its measurements so that he can order materials to repair it.First use pythagoras theorem to calculate the height AB and put that number correct to ONE decimal place in answer box 1.Second, calculate the height AD, by noticing that CE = 1.1 m, and put that number correct to ONE decimal place in answer box 2.Thirdly, calculate the roof length AC by using the above results. Put that number correct to ONE decimal place in answer box 3.
Simone is designing a deck to add to a house. Her plans have the rectangular deck graphed with corners at (−3,1) , (3,1) , (3,6) , and (−3,6) . What is the area of the deck?(1 point) Responses 15 sq. ft. 15 sq. ft. 36 sq. ft. 36 sq. ft. 30 sq. ft. 30 sq. ft. 22 sq. ft
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.