. The perimeter of a rectangle is 38 inches. If the length is 3 inches more than the width, find the width.

Step-by-step explanation:

P = 2w + 2l

l = 3 + w

38 = 2w + 2(3 + w)

38 = 2w + 6 + 2w

38 - 6 = 4w

32 = 4w

w = 32 : 4

w = 8 inches

l = 3 + w

l = 3inches + 8inches

l = 11 inches

1 and 0

step-by-step explanation:

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