AREA OF A RECTANGLE IS 42 UNITS
Rectangle: Triangle:
A = L * W A = hb / 2
A = (x-8) * 6 A = (7(x-3)) / 2
A = 6x - 48 A = (7x - 21) / 2
Since the problem states that both rectangle and triangle have the same area.Then:
6x - 48 = (7x - 21) / 2
1) Eliminate the denominator 2 by multiplying both sides by 2.
2 * (6x - 48) = 2 * ((7x - 21) / 2)
12 x - 96 = 7x - 21
Find x. Transfer like numbers and change their signs.
12x - 7x = 96 - 21
5x = 75
5x / 5 = 75 / 5
x = 15
Substitute x by its value:
Rectangle: Triangle
A = (x-8) * 6 - A = (7(x-3)) / 2 Areas of both Rectangle
A = (15 -8 ) * 6 A = (7(15-3)) / 2 and Triangle is the same.
A = 7 * 6 A = (7 * 12) / 2
A = 42 units A = 84 / 2
A = 42 units
Hello!
Explanation:
Distributive property: → a(b+c)=ab+ac
Expand.


First, add by 54 from both sides of an equation.

Then, simplify by equation.

You can also subtract by 3x from both sides of an equation.

Simplify.

Next, divide by 3 from both sides of an equation.

Answer: →
and 
Hope this helps!
Have a great day!
-Charlie
Answer:
Step-by-step explanation:
This is a unit problem.

If you notice in that ratio, there is a "g" in both the numerator and the denominator which will cancel out, leaving you only with the label of miles, which is what you are looking for (since "how far can she drive..." is a distance thing). 28 then only needs to be divided by 8.25 to see how many miles this is.
miles which, in an improper fraction, is
miles