Ashape is made of 12 right triangles of equal size. each right triangle has a base of 4 cm and a height of 5 cm. what is the total area, in square centimeters, of the shape?

The total area of the shape is

Step-by-step explanation:

step 1

Find the area of one right triangle

The area of a triangle is equal to

we have

substitute

step 2

To find the total area of the shape multiply the area of one triangle by 12

so

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 .