dantwanlarosa85

dantwanlarosa85

16.10.2020 •

Mathematics

Our family has a small pool for relaxing in the summer that holds 1500 gallons of water. I decided to fill the pool for the summer. When I had 5 gallons of water in the pool, I decided that
I didn't want to stand outside and watch the pool fill, so I had to figure out how long it would
take so that I could leave, but come back to turn off the water at the right time. I checked the
flow on the hose and found that it was filling the pool at a rate of 2 gallons every minute. Use a
table, a graph, and an equation to create a mathematical model for the number of gallons of
water in the pool at t minutes.

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Ответ:

dekarouh

02.10.2021

The area of the shaded region is 38.50 square units

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

The area of the shaded region is equal to the area of triangle ABE plus the area of triangle CDE

Remember that the area of triangle is equal to

$A=\frac{1}{2}bh$

where

b is the base

h is the height

Find the area of triangle ABE

$b=AB=7\ units$

$h=\frac{BC}{2}=\frac{11}{2}=5.5\ units$

substitute the values

$A=\frac{1}{2}(7)(5.5)=19.25\ units^2$

Find the area of triangle CDE

$b=CD=AB=7\ units$

$h=\frac{BC}{2}=\frac{11}{2}=5.5\ units$

substitute the values

$A=\frac{1}{2}(7)(5.5)=19.25\ units^2$

Find the area of the shaded region

$A=19.25\ units^2+19.25\ units^2=38.50\ units^2$

In rectangle abcd, point e lies half way between sides ab and cd and halfway between sides ad and bc

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