Question

PLS ANSWER IT PLS PLS PLS

Answer 1

The area of the greenhouse when x = 3 is
`\boxed{\sf 324 }` square meters.

The area of the greenhouse when x = 5 is
`\boxed{\sf 1900 }` square meters.

The area of the greenhouse when x = 9 is
`\boxed{\sf 12636 }` square meters.

Explanation:

Note:

Area of rectangle = length × Width

In this case:

The rectangle shows the dimensions of a rectangular greenhouse.

We need to multiply the dimensions to determine the area of the greenhouse.

We have

• length = (5x-6) meters
• Width = (4x²) meters

Area of rectangular green house = length × width

= (5x - 6)(4x²)

When x = 3.

We get the area of the greenhouse when x = 3, by substituting x = 3 in the above area of the rectangular greenhouse and simplify:

We get

Area of rectangular green house = (5 × 3 - 6)(4 × 3²)

= (15-6)(4×9)

= 9×36

= 324 square meters

Therefore,

The area of the greenhouse when x = 3 is
`\boxed{\sf 324 }` square meters.

When x = 5.

We get the area of the greenhouse when x = 5, by substituting x = 5 in the above area of the rectangular greenhouse and simplify:

We get

Area of rectangular green house = (5 × 5 - 6)(4 × 5²),

= (25-6)(4×25)

= 19×100

= 1900 square meters

Therefore,

The area of the greenhouse when x = 5 is
`\boxed{\sf 1900 }` square meters.

When x = 9.

We get the area of the greenhouse when x = 9, by substituting x = 9 in the above area of the rectangular greenhouse and simplify:

We get

Area of rectangular green house = (5 × 9 - 6)(4 × 9²)

= (45-6)(4×81)

= 39×324

= 12636 square meters

Therefore,

The area of the greenhouse when x = 9 is
`\boxed{\sf 12636 }` square meters.

Answer 2

see explanation

Explanation:

the area (A )of a rectangle is calculated as

A = length × width

given length = 5x - 6 and width = 4x² , then

A = 4x² (5x - 6) ← distribute parenthesis by 4x²

A = 20x³ - 24x²

substitute the given values x = 3 , x = 5 , x = 9 into the formula for A

x = 3

A = 20(3)³ - 24(3)² = 20(27) - 24(9) = 540 - 216 = 324 m²

x = 5

A = 20(5)³ - 24(5)² = 20(125) - 24(25) = 2500 - 600 = 1900 m²

x = 9

A = 20(9)³ - 24(9)² = 20(729) - 24(81) = 14580 - 1944 = 12636 m²