kaylard7118 kaylard7118
  • 02-09-2017
  • Mathematics
contestada

The perimeter of a rectangle is 44 inches, and its area is 105 square inches. find the length and width of the rectangle.

Respuesta :

APAgony
APAgony APAgony
  • 02-09-2017
Perimeter = (Length + Width)x2
Area = LengthxWidth

P=(L+W)x2
P/2=L+W
L=P/2 - W

Area=(P/2 - W)(W)
A=WP/2-W^2
105=W(44)/2 - W^2
105=22W - W^2
W^2-22W+105=0
(W-7)(W-15)=0
Width= 7 or 15

A=LxW
105=Lx7
105/7=L
L=15

Length is 15 inches, Width is 7 inches.
Answer Link

Otras preguntas

Thomas opened a savings account with an annual interest rate of 7% and an initial deposit of $5000. If his interest is compounded quarterly, how much is in Thom
Brothers and sisters often have similar facial characteristics such as nose shape or eye color because they
Whose accounts influenced Western education and culture for thousands of years? Zeus Athena Minos Homer
Which factors will increase the speed of a sound wave in the air?
Which two traits can you infer about Mira in this excerpt from “Games at Twilight” by Anita Desai? The children, too, felt released. They too began tumbling, s
the expiration date on a product refers to the last date a product should be
Which pair of measurements is not equivalent? 24 feet, 8 yards 24 inches, 2 feet 10 feet, 120 inches 3 miles, 15,480 feet
The subatomic particles that govern potential chemical reactions among elements are
What is the solution to the inequality? 5x + 8 > –12 A. x < –4 B. x > –4 C. x < 4 D. x > 4
Amaya picked x amount of apples took a break and then picked v more. Write the expression that models the total number of apples or Omaya picked.