1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ElenaW [278]
3 years ago
14

The area of a triangular flag is 132 square centimetres. Its altitude is 2 centimetres longer than twice its base. Find the leng

ths of the altitude and the base.
Mathematics
1 answer:
Anika [276]3 years ago
8 0

Answer:

24 cm and 11 cm

Step-by-step explanation:

GIVEN: The area of a triangular flag is 132 \text{ cm}^2. Its altitude is 2\text{ cm} longer than twice its base.

TO FIND: lengths of the altitude and the base.

SOLUTION:

Let the altitude and the base of flag be a and b

According to the question

a=2+2b

area of triangle =\frac{1}{2}\times base \times alltitude=\frac{1}{2}a\times b

\implies \frac{1}{2}(2b+2)b=132 \Rightarrow 2b^2+2b-264

Solving equation we get

b=11   then a=24

Hence the lengths of altitude and base of triangular flag is 24 cm and 11 cm respectively.

You might be interested in
Triangle XYZ has vertices X(0,3), Y(2,0) and Z(4,2). if yo reflect triangle XYZ across the line x=4, what will be the coordinate
Paha777 [63]

As X' is the reflected point of X(0,3) , so the x co ordinate of X' = 0+8 =8 and here y co ordinate remains same.

So, X'= (8,3)

Like that way, Y' is the reflected point of Y(2,0) and Z' is the reflected point of Z(4,2)

As the point Z is lying on the line x=4 and the reflection is also across that line, so both Z and Z' represent same point.

Y'= (2+4, 0) = (6, 0)

Z' = (4, 2)

3 0
3 years ago
Easy Area problem <br><br> Need it fast
Gekata [30.6K]

Answer:

just subtract the area of the rectangle from the area of the carpet

fine I'll do it

Area of a rectangle= lb

Area of a square= a^2

Area of the remaining area= lb - a^2

= (12*4) - (2*2)

= 48-4

= 44 ft^2

5 0
3 years ago
I need help ASAP
Dima020 [189]

Answer:

20

Step-by-step explanation:

x/2+15=25

x/2=10

x=20

Please mark as Brainliest! :)

Have a nice day.

3 0
3 years ago
Read 2 more answers
Using whichever equation you prefer (part a, b, or c), find the speed of light in meters per second if a mass of 3 kilograms con
pav-90 [236]
Given:\\m=3kg\\E=2.7\cdot 10^{17}J\\\\Find:\\c=?\\\\Solution:\\\\E=mc^2\\\\c^2= \frac{E}{m} \\\\c= \sqrt{\frac{E}{m}} \\\\c= \sqrt{ \frac{2.7\cdot 10^{17}J}{3} } = (2.7\cdot 10^{16} \frac{m^2}{s^2} )^{ \frac{1}{2} }=3\cdot 10^{8} \frac{m}{s}
6 0
3 years ago
Two storage sheds ye to have to same area. One is square and one is rectangular. The rectangular shed is 2 meters wide and 8 met
natima [27]
8 x 2 = 16

Square root of 16 = 4

One side of the square is 4 meters.
5 0
3 years ago
Other questions:
  • WILL MARK BRAINLIEST An architect is drafting a scale drawing of a house for an upcoming project. The customer wants the front o
    15·1 answer
  • Calculate the volume of the 3-D composite figure please!! show how you got the volume
    6·1 answer
  • What is 35+20/-4 times 7=?
    11·1 answer
  • Find four consecutive integers whose sum is 114.
    8·1 answer
  • Which number sentences show ways to solve the problem?
    12·1 answer
  • Given the polynomial 21x 4 + 3y - 6x 2 + 34 What polynomial must be added to it to obtain a first degree polynomial?
    5·1 answer
  • What's the answer<br><br><br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B3%20%5Ctimes%209%20%20%5Ctimes%2027%7D%20" id="TexFo
    12·2 answers
  • A cone has a volume of 602.88 cubic centimeters and a radius of 6 centimeters. What is its height? Use ​ ≈ 3.14 and round your a
    5·1 answer
  • Write the trinomial in the form (x+a)^2+b where a and b can be positive or negative.
    12·1 answer
  • Classify the triangle by angles and sides and find its area .
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!