Question

The figures are similar. Find the area.

The area of rectangle is 72 square inches. A diagonal of rectangle is 12 inches and the diagonal of rectangle is 18 inches. Find the area of rectangle . Round to the nearest square inch if necessary.
Question 10 options:

108 in

216 in

864 in

162 in

Answer 1

108 in is the correct answer.

Explanation:

Answer 2

108 in

Explanation:

The figures are similar, so if we find a relation of the area and the diagonal in rectangle 1 we can apply it to rectangle 2.

rectangle 1 :

72/x=12

x=6

therefore

72/6=12

rectangle 2:

A/x=18

A/6=18

6*18=108

A=108 in

Hope this helps

~Lalagrl

Find the lateral area of a cylinder with the given measurements. Use 3.14 for pi and round your answer to the nearest tenth.

height: 15 centimeters

radius: 9 centimeters

Question 11 options:

787.3 cm2

1356.5 cm2

847.8 cm2

889.9 cm2

So we know the formula for the lateral area of a cylinder is:

AL=2πrh

now all we have to do is put the given value in place of the correct variable then solve like so:

AL=2*3.14*9*15

AL= 847.8 cm2

so the answer is the third option

hope this helps

~Lalagrl