A rearview mirror is in the shape of a trapezoid that is 11 inches long across the bottom, 9 inches long across the top, and 3 inches high. The area of the rearview mirror is

inches squared. fill in the blank

Step-by-step explanation:

“Suppose we covered a large section of wall with chalkboard paint.

How would we find the area we wanted to paint?” Your student might

answer, “Measure how high and how far across, then multiply.” Then

ask, “If one quart of paint covers 65 square feet of wall, how many

quarts would we need to paint the blackboard section with 2 coats?”

Your student would multiply the area by 2 and compare that number

to 65. For example, a blackboard 8 feet wide and 5 feet high is

40 square feet, and 2 coats would be 80 square feet. One can of

paint would not be enough.

• “Suppose we put new carpet in your bedroom. How many square feet

would we need to buy? How would we figure this out?” Your student

might answer, “Measure each wall of the room and multiply. If the

room isn’t a perfect rectangle, divide it into smaller pieces that are

easier to work with.”

Getting your student involved with home projects develops useful skills for

helping around the house, finding a part-time job, and eventually being

responsible for his or her own home.

Enjoy your time working together!

hello from mrbilldoesmath!

answer:

(7 x + 6 y) (49 x^2 - 42 x y + 36 y^2)

discussion:

the trick is to recognize that 343 = 7^3 and 216 = 6^3 and, in general,

a^3 + b^3 =   (a + b) (a^2 - a b + b^2).

in our case

343x^3+216y^3   =   (7x)^3 + (6y)^3

so take a = 7x and b = 6y in the above equation to get the answer.

you,

mrb