Which equations can be used to determine the area of the irregular figure? Check all that apply.
2 answers:
We have been given an image of an irregular figure. We are asked to choose the equations that can be used to determine the area of the irregular figure.
We can see that our given image is made up of two figures. One rectangle and one triangle.
The rectangle will be with width 2 cm and length 3 cm. The triangle will have base 2 cm and height 3 cm.
Area of rectangle would be .
Area of triangle would be .
Sum of both areas would be . Therefore, 1st option is correct choice.
We can also divide area of irregular figure into triangles as shown in the attached file.
The base of one triangle would be 2 cm and other triangle will have a base of 4 cm. The heights of both triangles would be 3 cm.
Area of both triangles would be . Therefore, 2nd option is correct as well.
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You can make some algebraic equations and solve it.
The first would be:
The second would be
You can then rearrange the second into
And subsitute it into the first like so:
After that, distribute the y into the parantheses.
Subtract the 21 on both sides and multiply by -1 on both sides:
You then can factor it into:
With Zero Product Property, we can determine y to be either -3 and 7. Since the variables are interchangable, you can say the same about x, just that whatever x is, y must be the other value.
Thus, the answer is 7 and -3.
The first would be:
The second would be
You can then rearrange the second into
And subsitute it into the first like so:
After that, distribute the y into the parantheses.
Subtract the 21 on both sides and multiply by -1 on both sides:
You then can factor it into:
With Zero Product Property, we can determine y to be either -3 and 7. Since the variables are interchangable, you can say the same about x, just that whatever x is, y must be the other value.
Thus, the answer is 7 and -3.