Solve each problem. Use the strategy act it out to solve. Write the answer showing steps and in a complete sentence.
1. The Wilsons have 12 yards of fence for their garden. What are the length and width of the garden if it has the greatest possible area?
2. the town of Mount Harris needs to build another bridge over Franklin Creek. If the second bridge is exactly the same as the first bridge, how many cubic units are needed to build the second bridge?(the first bridge has 10 cubic units)
3. Joshua wants to build a fort in his backyard. he has 10 pieces of wood that are 6 feet long. if Joshua arranges the wood into a rectangle to make the greatest area what is the area of the fort?
1. To find the dimensions of the garden with the greatest possible area, we need to divide the 12 yards of fence into two equal lengths for the length and two equal widths. This means each side will have 6 yards of fence.
So, the length of the garden is 6 yards and the width of the garden is also 6 yards.
Therefore, the length and width of the garden are both 6 yards.
2. If the second bridge is exactly the same as the first bridge, it will also require 10 cubic units to build.
Therefore, 10 cubic units are needed to build the second bridge.
3. To find the area of the fort with the greatest possible area, we need to arrange the 10 pieces of wood into a rectangle with the biggest possible dimensions.
By arranging the 10 pieces of wood into a rectangle with each side being 6 feet long, we get a square shape with an area of 6 feet x 6 feet = 36 square feet.
Therefore, the area of the fort is 36 square feet.