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zzz [600]
2 years ago
15

66

Mathematics
2 answers:
dalvyx [7]2 years ago
8 0

Answer:

115 sq cm

Step-by-step explanation:

the shared side (16 cm) separates these two shapes into two trapezoids

the formula for the area of a trapezoid is:

A = 1/2h(sum of bases)

the bases for the left trapezoid are 7 and 16 because they are parallel

the bases for the right trapezoid are also 7 and 16 because they are parallel

the height for one could be 'x' and for the other could be '20-x-'

Area of 1st trapezoid:

A = 1/2x(23)

   = 23x/2

Area of 2nd trapezoid:

A = 1/2(20-x)·(23)

   = 10-x/2·(23)

   = (230-23x)/2

If you add the areas together you get the following:

23x/2 + (230-23x)/2

= 230/2

= 115

likoan [24]2 years ago
4 0

Answer: 230cm²

Step-by-step explanation:

>We can do this by splitting the figure into 2 trapeziums.

>Additionally, you can see that both trapeziums bear the same lengths a and b. Hence, we can use this formula: \frac{1}{2} * (a+b) * (total height).

>Thus,

Area = \frac{1}{2} *(7+16)*20=230

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