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skad [1K]
3 years ago
6

The figure shown has a parallelogram on top and a rectangle below it:

Mathematics
2 answers:
anyanavicka [17]3 years ago
4 0

Answer:

The area of the figure is 962.48\ in^{2}

Step-by-step explanation:

we know that

The area of the figure is equal to the area of parallelogram plus the area of rectangle

Step 1

Find the area of rectangle

The area of rectangle is equal to

A=LW

we have

L=42.4\ in

L=10.5\ in

substitute

A=42.4*10.5=445.2\ in^{2}

Step 2

Find the area of parallelogram

The area of parallelogram is equal to

A=bh

we have

b=42.4\ in

h=12.2\ in

substitute

A=42.4*12.2=517.28\ in^{2}  

step 3

Find the area of the figure

445.20\ in^{2}+517.28\ in^{2}=962.48\ in^{2}

hoa [83]3 years ago
3 0
The total area of the figure should be 962.48 square inches
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Problem:
Solve
2
x
+
5
y
=
−
3
;
3
x
−
y
=
21
Steps:
I will try to solve your system of equations.
3
x
−
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;
2
x
+
5
y
=
−
3
Step: Solve
3
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y
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−
3
x
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21
+
−
3
x
(Add -3x to both sides)
−
y
=
−
3
x
+
21
−
y
−
1
=
−
3
x
+
21
−
1
(Divide both sides by -1)
y
=
3
x
−
21
Step: Substitute
3
x
−
21
for
y
in
2
x
+
5
y
=
−
3
:
2
x
+
5
y
=
−
3
2
x
+
5
(
3
x
−
21
)
=
−
3
17
x
−
105
=
−
3
(Simplify both sides of the equation)
17
x
−
105
+
105
=
−
3
+
105
(Add 105 to both sides)
17
x
=
102
17
x
17
=
102
17
(Divide both sides by 17)
x
=
6
Step: Substitute
6
for
x
in
y
=
3
x
−
21
:
y
=
3
x
−
21
y
=
(
3
)
(
6
)
−
21
y
=
−
3
(Simplify both sides of the equation)
Answer:
y
=
−
3
and
x
=
6

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