Respuesta :

Estellia

Answer:

[tex]48.5cm^{2}[/tex]

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 [tex]7*8=56[/tex] and subtract the triangle.

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

Base = [tex]8-3=5[/tex]

Height = [tex]7-4=3[/tex]

Area of missing triangle = [tex]\frac{1}{2} *5*3=7.5[/tex]

Area of the figure: [tex]56-7.5=48.5[/tex]

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

Area of the rectangle: [tex]8*4=32[/tex]

Area of square: [tex](7-4)*3=9[/tex]

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

Total Area: [tex]32+9+7.5=48.5[/tex]

heatherleaop

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

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