Holly is trying to get the best deal for her money. the pizza shop is offering two pizzas for the same price. the round one is 12 inches in diameter and the square one measures 10.5 inches on a side. which pizza should she buy?

Step-by-step explanation:

The pizza shop is offering two pizzas for the same price.

The round one is 12 inches in diameter. To know the size of the round pizza, we will determine its area. It is the same as the area of a circle which is expressed as

Area = πr^2

Radius, r = diameter /2 = 12/2 = 6 inches.

π = 3.14

Area = 3.14 × 6^2 = 3.14 × 36 = 113.04 inches square.

To know the size of the square pizza, we will apply the formula for a square

Area = l^2

Since one side is 10 inches,

The area is 10.5 × 10.5 = 110.25 inches square.

It means that the round pizza is bigger. She should by the round pizza

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .