Question

Sparks garden is in the shape of a trapezoid and the dimensions are shown belowa gardener needs to spread fertilizer over the flower beds each bag of fertilizer he uses covers 125 square meters and he can only buy full bags how many bags of fertilizer will he need to cover the entire garden

Answer 1

To be able to determine the bags of fertilizer that the gardener will need, let's first determine the area of the garden.

Since the shape of the garden is a trapezoid, we will be using the following formula:

`\text{ Area = }(1)/(2)H(B_1+B_2)`

We get,

`\text{ Area = }(1)/(2)H(B_1+B_2)`
`\text{ = }(1)/(2)(50)(70\text{ + 40)}`
`\text{ = }(1)/(2)(50)(110\text{) = }\frac{50\text{ x 110}}{2}`
`\text{ = }(5,500)/(2)`
`\text{ Area = }2,75m^2`

Let's determine how many bags of fertilizer will be used.

`\text{ No. of Bags of Fertilizer = }\frac{\text{ Area of Garden}}{\text{ Area that a Bag of Fertilizer can cover}}`

We get,

`\text{ = }\frac{2,750(m^2)}{125\frac{(m^2)}{\text{bag}}}`
`\text{ No. of Bags of Fertilizer = }22\text{ Bags}`

Therefore, the gardener will be needing 22 Bags of Fertilizer.