Theresa plans to use a photocopy machine to increase the size of a small picture that she plans on using as part of the display on her bulletin board. The original picture has a width of 3.5 inches and length of 5 inches. After enlarging her picture, she has a similar picture with a width of 8.75 inches. Determine the length of the enlarged picture

18 units²

step-by-step explanation:

first let's find altitude bd using the distance formula

d = √((y₂ - y₁)² + (x₂ - x₁)²)

bd = √((0 - -3)² + (0 - 3)²)

bd = √18

given the placement of points a and c, we can denote that point d bisects segment ac.

we will call ac the base.

using the distance formula

ac = √((0 - 6)² + (-6 - 0)²)

ac = √72

knowing our base and our height, we can plug these into our triangle area formula

area = (b * h)/2

area = (√18 * √72) / 2

area = (√1296) / 2

area = 36 / 2

area = 18 units²

b and c are the correct answers.

good luck on the quiz! : d