Question

In a garden, 5/6 of the area is filled with native plants. The native plants take up

107/4 m². Let g represent the total area of the garden.
a) g = 53/2
b) g = 83/2
c) g = 65/2
d) g= 49/2

Answer 1

The total area of the garden is 32.1 m².

Step-by-step explanation:

To find the total area of the garden, we need to use the given information. The native plants fill 5/6 of the area, which is equal to 107/4 m². Let's represent the total area of the garden as g. This means that 5/6 of g is equal to 107/4 m². To find the value of g, we can set up and solve an equation:

5/6 * g = 107/4

To simplify, we can multiply both sides of the equation by the reciprocal of 5/6 which is 6/5:

(6/5) * (5/6) * g = (6/5) * (107/4)

This simplifies to:
g = (6/5) * (107/4)

Performing the multiplication:

g = 642/20

Reducing the fraction:

g = 321/10

So, the total area of the garden is 321/10 or g = 32.1 m².