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. Describe their dimensions and show your work.

Step-by-step explanation:

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The problem statement describes the dimensions. The base length is 15 ft; the height is 10 ft.

The area of a parallelogram is the product of base length and height, just as it is for a rectangle.

 A = bh

 A = (15 ft)(10 ft) = 150 ft²

Mr Morris should purchase 150 ft² of material.

_____

If you compare the area to a 15 ft by 10 ft rectangle, you see the "excess" triangle at the left end just matches the "missing" triangle at the right end. The A=bh formula still works even if the top and base are offset by more than the width of the base.

~SharkieOwO~

< 4, -5>

step-by-step explanation:

starting from g. we move 4 right and then 5 down to get to h. that means the vector is < 4, -5>

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.