A rectangle has vertices at A(-1, -2), B(3, -2), C(3, 1), and D(-1, 1) in the standard (x,… — ACT

A rectangle has vertices at $A(-1, -2)$ , $B(3, -2)$ , $C(3, 1)$ , and $D(-1, 1)$ in the standard $(x,y)$ coordinate plane. What is the perimeter of this rectangle?

A
7
B
10
C
11
D
12
14Cevap

Cevap

The horizontal length of the rectangle is

3 - (-1) = 4

units, and the vertical length is

1 - (-2) = 3

units. Using the formula for the perimeter of a rectangle,

P = 2(\text{width} + \text{height})

, we get

P = 2(4 + 3) = 14

units.

Adım Adım Çözüm

Calculate the horizontal length (width) of the rectangle.

width = 4

Since vertices

A(-1, -2)

and

B(3, -2)

share the same y-coordinate, the horizontal distance between them is the difference in their x-coordinates:

3 - (-1) = 4

Calculate the vertical length (height) of the rectangle.

height = 3

Since vertices

B(3, -2)

and

C(3, 1)

share the same x-coordinate, the vertical distance between them is the difference in their y-coordinates:

1 - (-2) = 3

Use the perimeter formula for a rectangle to find the total perimeter.

perimeter = 14

The perimeter is given by

P = 2(\text{width} + \text{height}) = 2(4 + 3) = 2(7) = 14

Anahtar Kavram

Perimeter of geometric figures on the coordinate plane

Tahmini Süre:45s

Soru

Cevap

Adım Adım Çözüm

Anahtar Kavram

Sık Yapılan Hatalar

Konular

Bu konudan daha fazla soru