Answered

Westonci.ca is the premier destination for reliable answers to your questions, provided by a community of experts. Discover precise answers to your questions from a wide range of experts on our user-friendly Q&A platform. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

Mr. Morris is going to save money and replace his sailboat's mainsail himself. He must determine the area of the mainsail in order to buy the correct amount of material. Calculate the area of the parallelogram to determine how much material should be purchased. Be sure to explain how to decompose this shape into rectangles and triangles. Describe their dimensions and show your work.

Mr Morris Is Going To Save Money And Replace His Sailboats Mainsail Himself He Must Determine The Area Of The Mainsail In Order To Buy The Correct Amount Of Mat class=

Sagot :

laurenhicks26

Welll....from the diagram, you can see you have two triangles (one on each side)

area of triangle = 1/2 base*height = 1/2 * 2 x 15 = 15ft2 each then you are left with a rectangle 13 ft x 15= 195 ft2

195+15+15=

225 ft2 <----- ANSWER

Lanuel

The area of the parallelogram is equal to 300 square feet.

Given the following data:

  • Width of parallelogram = 20 feet.
  • Base of triangle = 4 feet.
  • Height of triangle = 15 feet.

To calculate the area of the parallelogram:

First of all, we would determine the area of the triangles.

Note: There are two (2) triangles that can be cut-off the given parallelogram.

The formula for the area of a triangle.

Mathematically, the area of the triangle is given by the formula:

[tex]Area=\frac{1}{2} \times base \times height\\\\Area=\frac{1}{2} \times 4 \times 15\\\\Area=2 \times 15[/tex]

Area = 30 [tex]ft^2[/tex]

For the two (2) triangles:

[tex]Area = 2 \times 30[/tex]

Area = 60 [tex]ft^2[/tex]

For the rectangle left:

  • Length = 15 ft.
  • Width = 20 - 4 = 16 ft.

[tex]Area = length \times width\\\\Area = 15 \times 16[/tex]

Area = 240 [tex]ft^2[/tex]

Now, we can calculate the area of the parallelogram:

[tex]Area \;of \;parallelogram = 60 + 240[/tex]

Area of parallelogram = 300 [tex]ft^2[/tex]

Read more on area of parallelogram here: https://brainly.com/question/21917592

Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.