Question

The length of a rectangular garden is represented by 3x-4 and the width is represented by 2x-5. Which of the following represents the total area of the garden

Answer 1

Both of them.

(3x-4) × (2x-5)
6x^2-15x-8x-20
6x^2 - 23x - 20 = area

Answer 2

The options are

a.) 5x - 9

b.) 6x + 20

c.) 6x²- 23x + 20

d.) 6x²-14x - 9

Answer:

c.) 6x²- 23x + 20

Explanation:

Rectangle area can be computed as length × width . The garden is a rectangle so the area can be computed by multiplying the length and the width.

Area= L × W

Length = 3x - 4

width = 2x - 5

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

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

Note : - × - = +

Area = 6x² -15x - 8x + 20

Area = 6x² - 23x + 20