Mathematics
15.06.2021 11:30
212
415
5
Solved by an expert

Triangles xyz and pqr are drawn on a square grid. what fraction of the area of triangle

Triangles xyz and pqr are drawn on a square grid. what fraction of the area of triangle xyz is the area of trianglepqr?
Show Answers
gamer0078
gamer0078
4,5(99 marks)
The area of a triangle is given by \frac{1}{2} bh.

From the given figure: The base of the bigger triangle is 6 units and the height is 3 units.
The base of the smaller triangle is 3 units and the height is 2 units.

The area of the big triangle is \frac{1}{2} \times6\times3=9\, square\, units
The area of the small triangle is \frac{1}{2} \times3\times2=3\, square\, units

The required fraction is \frac{3}{9} = \frac{1}{3}
dakotaadkins20
dakotaadkins20
4,5(31 marks)

For this case we must solve the following equation:

\frac {2} {5} + p = \frac {4} {5} + \frac {3} {5}

Since the denominators on the right side of the equation are equal, then we add the fractions:

\frac {2} {5} + p = \frac {4 + 3} {5}\\\frac {2} {5} + p = \frac {7} {5}

We subtract \frac {2} {5}on both sides of the equation:

p = \frac {7} {5} - \frac {2} {5}\\p = \frac {7-2} {5}\\p = \frac {5} {5}\\p = 1

Thus, the value of p is 1.

p = 1

Popular Questions about the subject: Mathematics

Monomials please help...
Mathematics
15.02.2021 05:37
Francine has a piece of wood that is 5 5/12 foot long she uses three and one foot...
Mathematics
17.10.2022 17:32
Find the slope of each line. 2...
Mathematics
14.12.2020 06:38
How is the subtraction of an integer similiar to the addition of an integer...
Mathematics
15.09.2020 21:06

New questions by subject

Paul is 4 years older than melissa, who is 26 years older than eve. together their...
Mathematics
13.12.2022 23:44
Is this correct i think it is incenter it is asking what point p in the triangle...
Mathematics
20.04.2022 13:16
Which of the following is written as a rational function? a. p(x)=7x+1 b. g(x)=-4x...
Mathematics
19.03.2020 16:44
Covalent bonds are atoms held together by...
History
17.01.2020 00:14
This is survey questions plz answer from your knowledge what is china pakistan...
History
03.12.2021 16:17
which of these is an important function of salt marshes, such as the one on the...
Biology
20.01.2020 01:56
Acredit report summarizes a person s acredit score is measure of a person s as...
Engineering
19.05.2023 09:11
Which linear function has the greatest y-intercept? mc015-1.jp mc015-2.jp mc015-3.jp...
History
23.09.2021 14:08
What are all the factors of 2x^2-6x...
Mathematics
23.12.2020 22:15
#
#
#
#
# #

We expand our knowledge with many expert answers