Answer: 2 hours and 15 minutes I think.....I tried:(
2.46875 in a fraction form would look like this:
2.46875 =
= 2 46875/100000 =
= 2 9375/20000 =
= 2 1875/4000 =
= 2 375/800 =
= 2 75/160 =
= 2 15/32
I just kept simplifying it by dividing both numerator and denominator by 5 until I got its simplest form.
Answer:
AB + BC = AC
BC = AC - AB
5x + 6 = 37 - (2 x + 3) = 37 -2 x - 3 = 34 - 2 x
7 x = 34 - 6 = 28
x = 4
BC = 5 x + 6 = 5 * 4 + 6 = 26
Check:
AB = 2 x + 3 = 2 * 4 + 3 = 11
AB + BC = 26 + 11 = 37
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
