Question

1.The area of the KM 89 Farm in San Vicente is (x²+7x +12) sq meters. If its width is (x + 3) meters, what is the length of the farm?

2. A box has a volume of (x³ + 12x²+ 47x + 60) cu. cm. If it is (x + 3) cm high, what is the product its width and length?

3. The base of a parallelogram is(f-2) cm. If its area is (f³-8) cm², find an expression for the height of the parallelogram.4. Any wants to paint the wall of his room for renovation. If the area of the wall is (3x³- 4x² + 2x + 4) m² and a paint can cover (x²- 2x + 2) m², how many cans of paint will he use to paint the whole wall?

5. A rectangular garden in a backyard has an area of (x² + 5x - 6) square meters. Its width is (x + 2) meters. What is the length of the garden?

I need the solution with the answer thank youuu

Answer 1

Explanation:

1. A = lw

• l = A/w
• l = (x²+7x +12) / (x + 3) =
• (x + 4)(x + 3)/(x + 3) =
• x + 4 m

2. V = lwh

• lw = V/h
• lw = (x³ + 12x²+ 47x + 60) / (x + 3) =
• (x³+ 3x² + 9x² + 27x + 20 x + 60) /(x + 3) =
• (x + 3)(x² + 9x + 20) / (x + 3) =
• x² + 9x + 20 cm²

3. A = bh

• h = A/b
• h = (f³-8) / (f-2) =
• (f - 2)(f² + 2f + 4)/(f-2) =
• f² + 2f + 4 cm

4. A = p*c

• c = A/p
• c = (3x³- 4x² + 2x + 4) / (x²- 2x + 2) =
• (3x³ - 6x² + 6x + 2x² - 4x + 4) /(x² - 2x + 2) =
• (x² - 2x + 2) (3x + 2) / (x² - 2x + 2) =
• 3x + 2 cans

5. A = lw

• l = A/w
• l = (x² + 5x - 6)/(x + 2) =
• (x - 1)(x + 6)/(x + 2) m