FLOWER BOX DESIGN:
Apply the Pythagorean Theorem to determine unknown side lengths in right
triangles in real-world and mathematical problems in two and three dimensions.
You and your friends have been asked by your neighbor to help enhance the curb
appeal of her driveway and she has offered to pay you for your help! She would like you to design two, right triangular flowerbeds to flank the edge of the driveway, as shown in the diagram. The driveway measures 35 feet by 10 feet. You are being supplied with 50 feet of edging material for two right triangular beds. She does not, however, want the total area the flowerbeds to be more than 50 square feet of yard space. With your team, design a blueprint for this project and provide an explanation for the reason for your choices of design. Answer the questions below to complete the task. 50 pts.
What is the formula for finding the area of a triangle?
What is the formula for the Pythagorean theorem?
3. If we know the legs of a right triangle, what side can we solve for?
Why is it important to know the area of our flower box? (hint: what goes in the box?) How can we use
Pythagorean theorem to help solve for the perimeter of the flower
box? (hint: how do you find the perimeter of an object?)
Use a piece of paper to create your first design (make sure you label all the dimensions). Use the back for your second design(dimensions different than the
first, BUT still within the guidelines) See the picture in the top left corner. You can print off a piece of grid paper from the computer to the printer. You can get a piece of grid paper from the teacher.
Visit a store and determine the cost of fencing for the flower box you chose to
design. Record the name, description, unit price and total for your design.
(Use the perimeter to help determine how much you need and number sense to
determine total cost,)
How many bags of mulch would be needed to cover the flat area inside flower box?
( hint use the calculated area look up bags of mulch and how many feet it covers
an average back covers about 2 square feet).
Purchase a couple plants for your flower box. What are the names and prices?
Record these on the diagram.
8. You should complete the questions above for BOTH designs. Use different flowers and
material. Visit Lowes, Home Depot, or another florist shop to find product.
This mini project is 25 points. Have fun!