Question

18. A rectangular tables has a

length that is expressed as
5x + 6 and a width that is
expressed as 2x - 3. Find the

a) Area of the table

b) Perimeter of the table

Answer 1

a) 10x² - 3x - 18

b) 14x + 6

Explanation:

Given:

length = 5x + 6

width = 2x - 3

Tables usually have rectangular shape.

a) Area of the table

Area of a rectangle

A = length × width

Insert values into formula.

A = length × width

A = (5x + 6) × (2x - 3)

A = 10x² - 15x + 12x - 18

A = 10x² - 3x - 18

b) Perimeter of the table

Perimeter of a rectangle

P = 2 × length + 2 × width

P = 2 × length + 2 × width

P = 2(5x + 6) + 2(2x - 3)

P = 10x + 12 + 4x - 6

P = 14x + 6

Answer 2

Area = 7x + 3
Perimeter = 14x + 6