Suppose you have a rectangular garden that has an area represented by 15x^2+4x-4 square meters and its length is represented by 5x + 2 meters.
1.find the binomial that represent the width of the garden.
2.Suppose the measure of the length is 12m, what is the measure of the width of the rectangle?
3. What is the are of the rectangular garden?
4. if you are going to plant your garden with okra which is 25cm apart, how many okra can you plant?
Step-by-step explanation:
. To find the width of the garden, we need to divide the area by the length:
Width = Area / Length
Width = (15x^2 + 4x – 4) / (5x + 2)
2. If the length is 12 meters, we can substitute 12 for the length:
Width = (15x^2 + 4x – 4) / (5x + 2)
Width = (15(12)^2 + 4(12) – 4) / (5(12) + 2)
Width = 296 / 62
Width = 4.77 meters (rounded to two decimal places)
3. The area of the rectangular garden is given as 15x^2 + 4x – 4 square meters.
4. To determine how many okra can be planted, we need to convert the measurement of the garden from meters to centimeters since the spacing for the okra is given in centimeters.
Area of garden = Length x Width
Area of garden = (5x + 2) * (15x^2 + 4x – 4)
Area of garden = 75x^3 + 28x^2 – 26x – 8 square meters
Converting to square centimeters:
Area of garden = (75x^3 + 28x^2 – 26x – 8) * (10,000)
Area of garden = 750,000x^3 + 280,000x^2 – 260,000x – 80,000 square centimeters
Assuming the spacing for the okra is 25 cm apart, we can divide the area of the garden by the area required for one okra plant (25cm x 25cm = 625 square centimeters) to find the number of plants that can be planted:
Number of okra plants = (750,000x^3 + 280,000x^2 – 260,000x – 80,000) / 625
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