Question

I WILL NAME BRAINLIEST FOR WHOEVER CAN WRITE THE ANSWER! I WILL NOT GIVE IT ANYONE WHO JUST POINTS! What is the area of the figure below?

Answer 1

Answer:

49.2

Step-by-step explanation:

I first found the area (length x Width) of the rectangle which is 8x4= 32

Then I subtracted 7cm and 4cm to find the width of the square which is 3cm

To find the area of the square multiple 3x3= 9

Then to find the area of the triangle I subtracted 8cm and 3cm to get the length of the triangle which is 5cm

You already know the width of the triangle (3cm) so you multiply 5cm x 3cm to get 15, but snice its a triangle you’re going to divide 15 by 2 = 7.2

Lastly your going to add up all those numbers :

32+9+7.2 = 49.2

So the area of the triangle is 49.2

Answer 2

Answer:

$48.5cm^{2}$

Step-by-step explanation:

This shape is actually just a rectangle with a missing triangle. We can first find the area of the rectangle with $7*8=56$ and subtract the triangle.

Area of missing triangle = $\frac{1}{2} *b*h$ (b is the base and h is the height)

Base = $8-3=5$

Height = $7-4=3$

Area of missing triangle = $\frac{1}{2} *5*3=7.5$

Area of the figure: $56-7.5=48.5$

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Alternatively, you can find the area of each individual shape and add them all up.

Area of the rectangle: $8*4=32$

Area of square: $(7-4)*3=9$

Area of triangle: $\frac{1}{2} *(8-3)*(7-4)=\frac{1}{2} *5*3=7.5$

Total Area: $32+9+7.5=48.5$