Question

Den

URA - Add/sub/monomials Practice
<
8/17
>
Set background
Clear frame
Rectangle ABCD has a length represented by the expression 2x - 3, and a width
represented by the expression 4x + 5. Rectangle PQRS has a length represented by
the expression x - 1, and a width represented by the expression 3x + 2. Which are used to represent the difference in the perimeters of
Rectangle ABCD and Rectangle PQRS

Answer 1

Perimeter of ABCD - Perimeter of PQRS = 4x + 2

Explanation:

i. For rectangle ABCD;

length, l = 2x -3

width, w = 4x + 5

Perimeter of a rectangle = 2(l + w)

Perimeter of ABCD = 2((2x -3) + (4x + 5))

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

= 2(6x + 2)

Perimeter of ABCD = 12x + 4

ii. For rectangle PQRS;

length, l = x - 1

width, w = 3x + 2

Perimeter of a rectangle = 2(l + w)

Perimeter of PQRS = 2((x - 1) + (3x + 2))

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

= 2(4x + 1)

Perimeter of PQRS = 8x + 2

So that,

Perimeter of ABCD - Perimeter of PQRS = (12x + 4) - (8x + 2)

= 12x + 4 - 8x - 2

= 4x + 2

Perimeter of ABCD - Perimeter of PQRS = 4x + 2