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
Andru [333]
1 year ago
5

Can you please help me find the area? Thank you. :)))

Mathematics
1 answer:
Phoenix [80]1 year ago
8 0

The figure shown in the picture is a rectangular shape that is missing a triangular piece. To determine the area of the figure you have to determine the area of the rectangle and the area of the triangular piece, then you have to subtract the area of the triangle from the area of the rectangle.

The rectangular shape has a width of 12 inches and a length of 20 inches. The area of the rectangle is equal to the multiplication of the width (w) and the length (l), following the formula:

A=w\cdot l

For our rectangle w=12 in and l=20 in, the area is:

\begin{gathered} A_{\text{rectangle}}=12\cdot20 \\ A_{\text{rectangle}}=240in^2 \end{gathered}

The triangular piece has a height of 6in and its base has a length unknown. Before calculating the area of the triangle, you have to determine the length of the base, which I marked with an "x" in the sketch above.

The length of the rectangle is 20 inches, the triangular piece divides this length into three segments, two of which measure 8 inches and the third one is of unknown length.

You can determine the value of x as follows:

\begin{gathered} 20=8+8+x \\ 20=16+x \\ 20-16=x \\ 4=x \end{gathered}

x=4 in → this means that the base of the triangle is 4in long.

The area of the triangle is equal to half the product of the base by the height, following the formula:

A=\frac{b\cdot h}{2}

For our triangle, the base is b=4in and the height is h=6in, then the area is:

\begin{gathered} A_{\text{triangle}}=\frac{4\cdot6}{2} \\ A_{\text{triangle}}=\frac{24}{2} \\ A_{\text{triangle}}=12in^2 \end{gathered}

Finally, to determine the area of the shape you have to subtract the area of the triangle from the area of the rectangle:

\begin{gathered} A_{\text{total}}=A_{\text{rectangle}}-A_{\text{triangle}} \\ A_{\text{total}}=240-12 \\ A_{\text{total}}=228in^2 \end{gathered}

The area of the figure is 228in²

You might be interested in
What is the explicit rule for the sequence?<br><br> 10.5, 9, 7.5, 6, 4.5, 3, ...
makvit [3.9K]
Answer: the rule is to add 1.5

3 + 1.5 = 4.5
4.5 + 1.5 = 6
6 + 1.5 = 7.5
etc...
6 0
3 years ago
What is the interquartile range for the data set 12,14,16,16.5,11,18,18,14,20
podryga [215]
Your answer would be 15.6

6 0
3 years ago
Rich is building a travel crate for his dog, Thomas, a beagle-mix who is about 28 inches long, 11 inches wide, and 24 inches tal
Dmitry [639]

Answer:

27600

Step-by-step explanation:

28 long +12 -->40

11 wide +12 --->23

24 tall +6--->30

v=40×23×30=27600 cubic inches

4 0
2 years ago
Read 2 more answers
How many times can 3 go into 500
AlladinOne [14]
All you have to do is divide 500 by 3.
500 divided by 3 is 166.666667

I hope this helps:)
3 0
3 years ago
Read 2 more answers
What is 2X to the power of 3 divided by -8X to the power of 4?
PIT_PIT [208]

Answer: 8 = 23 (-8)4 = (23)4 = 212

1/(2048x)

Step-by-step explanation:Negative number raised to an even power is positive

For example let's look at (-7)6 , where (-7) , a negative number, is raised to 6 , an even exponent :

(-7)6 can be written as (-7)•(-7)•(-7)•(-7)•(-7)•(-7)

Now, using the rule that says minus times minus is plus, (-7)6 can be written as (49)•(49)•(49) which in turn can be written as (7)•(7)•(7)•(7)•(7)•(7) or 76 which is positive.

We proved that (-7)6 is equal to (7)6 which is a positive number

Using the same arguments as above, replacing (-7) by any negative number, and replacing the exponent 6 by any even exponent, we proved which had to be proved

Dividing exponential expressions :  x3 divided by x4 = x(3 - 4) = x(-1) = 1/x1 = 1/x

Final result :

1/2048x

im in middle school

6 0
2 years ago
Other questions:
  • Consider a shape with vertices A(1, 4), B(3, 0), C(1, −4), and D(−1, 0) on the coordinate plane. 1) Which proves that the shape
    9·2 answers
  • Is 3/16 equivalent to 3/8? How do you know?
    6·2 answers
  • I’m really confused
    9·1 answer
  • Circle O is shown below. The diagram is not drawn to scale? If Angle r is 32, what is angle O?
    5·1 answer
  • Some years ago it was estimated that the demand for steel approximately satisfied the equation p equals 201 minus 20 x​, and the
    6·1 answer
  • (5x - 2)(8x - 7)<br> Find each product by step by step
    12·1 answer
  • 2 friends equally share 5 cookies. How many cookies<br>does each friend get?​
    9·2 answers
  • 4 &lt; 4x- 16<br> Please answer!
    7·1 answer
  • The equation of a proportional relationship is of the form y=kx, where k is a positive number, and the graph is a line through (
    5·1 answer
  • HELP!!!!!!!!!!!!!!!!!!!
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!