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. Parallelogram with base of 20 feet, height of 15 feet, and triangular base of 4 feet.

360ft²

Step-by-step explanation:

First of all, you have to consider the geometric shapes you could use in order to represent the mainsail. A sail is typically represented in the way of a rhombus, which makes sense considering they are telling you that you have to decompose the shape into rectangles and triangles.

Such triangle can have the following dimensions:

Triangle (Dimensions)

Base = 4ft

Height = 15ft

On the other hand, the rectangle can have the following dimensions:

Rectangle (Dimensions)

15 ft x 20ft

To get the area of the mainsail, you need to add up the sum of the areas of each individual part.

Obtaining each area:

Rectangle: 15x20 = 300ft²

Triangle #1: 1/2(4*5) = 30ft²

Triangle #2: 1/2(4*5) = 30ft²

Add all areas up:

300 ft²+30ft²+30ft² = 360ft²

Hope it helped u if yes mark me BRAINLIEST.... My fingers r paining....

Tysm!

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet

explanation:

step-by-step explanation: