Question

HELP ASAP I GIVE 50 POINTS IF UR CORRECT AND I GIVE BRAINLIEST Based on the picture, what is an expression that can be used to find the perimeter of the inside rectangle? Write the expression in its simplest form without any spaces. *

Answer 1

Answer:

perimeter of inside rectangle: 4x + 2

perimeter of outside rectangle: 14x - 12

Explanation:

perimeter of inside rectangle:

2 ( x + 1 + x )

2 ( 2x + 1)

4x + 2

perimeter of outside rectangle:

2 (  3x - 1 + 4x - 5 )

2 ( 7x - 6 )

14x - 12

Answer 2

Answer:

Perimeter of the smallest rectangle = 4x + 2

Step-by-step explanation:

Perimeter of the smallest rectangle

= 2(x + 1) + 2x

= 2x + 2 + 2x

= 4x + 2

Perimeter of largest rectangle

= 2(3x - 1) + 2(4x - 5)

= 6x - 2 + 8x - 10

= 14x - 12

Perimeter of the largest rectangle MINUS the smallest rectangle (lightest grey shaded area)

= 14x - 12 - (4x + 2)

= 14x - 12 - 4x - 2

= 10x - 14