3 years ago

What is the area of the figure?

Mathematics

1 answer:

luda_lava [24]3 years ago

4 0

The area is 12 feet

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Subtracting polynomials

kumpel [21]

Answer:

The third side of the triangle is 10x + 3

Step-by-step explanation:

x + 1 + 2x + 4 = 3x + 5

( 13x + 8 ) - ( 3x + 5 ) = 13x + 8 - 3x - 5

= 10x + 3

5 0

3 years ago

The four points (−2, 5), (−2, −1), (6, −1), and (3, 5) are the vertices of a polygon. What is the area, in square units, of this

crimeas [40]

Look at the picture.

The polygon is a right-angled trapezoid.

The area is:
$A=\frac{a+b}{2} \times h$

The points (-2,-1) and (6,-1) lie on the same horizontal line, so the distance between them is 6-(-2)=6+2=8. The length of a is 8 units.
The points (-2,5) and (3,5) lie on the same horizontal line, so the distance between them is 3-(-2)=3+2=5. The length of b is 5 units.
The points (-2,5) and (-2,-1) lie on the same vertical line, so the distance between them is 5-(-1)=5+1=6. The length of h is 6 units.

$A=\frac{8+5}{2} \times 6=\frac{13}{2} \times 6=13 \times 3=39$

The area is 39 square units.