Find the perimeter and area of the figure (which is not necessarily drawn to scale):

The answer to your question is  Perimeter = 8.5 cm; Area = 3.75 cm²

Step-by-step explanation:

Data

base = 3 cm

height = 1.25 cm

Formula

Perimeter = 2(base) + 2 (height)

Area = base x height

Process

1.- Calculate the perimeter

Perimeter = 2(3) + 2(1.25)

Perimeter = 6 + 2.5

Perimeter = 8.5 cm

2.- Calculate the area

Area = 3 x 1.25

Area = 3.75 cm²

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240