Find the value of z in the similar figures (round to the nearest tenth)

Mathematics

1 answer:

MrRa [10]2 years ago

4 0

As they are similar figures,we can use the ratio of the side to find out the value of z.

The only side that both have the value indicated is 4 and 6,therefore we would use it to find the ratio.

The eqaution would be:
6/4 = z/8
3/2 = z/8
3×8 = 2z
z = 24/2
z = 12

Thus the value of z is 12.

Hope it helps!

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Allisa [31]

Answer:

Area of shaded region=41 square feet

Area of non shaded region= 87 square feet

Step-by-step explanation:

As, Shaded area is made of different shapes including two rectangles and one triangle

So,

Area of shaded region,

$=(8\times2)+(10\times 1)+(\frac{1}{2}\times 3\times10)\\\\ =16+10+15=41 \quad \text{square feet}$