MATTTTTTTTTTTTTTTTHHHHHHHH , i neeed help





A rectangular garden has an area of 80m^2. Its length is 2 meters longer than its width. How much fencing is needed to enclose the garden?

a.36meters

b.54meters

c.24meters

d.18meters

e.40meters

Respuesta :

cuzon
36 meters because
since length is 2 meters longer than width
length = 2+width and width=width

Ver imagen cuzon

The fencing that is needed to enclose the garden is 36 meters.

Let the width be represented by x.

Let the length be represented by x+2.

The area is given as 80m².

Therefore, the length and width will be calculated thus;

x(x + 2) = 80

x² + 2x - 80 = 0

x² + 10x - 8x - 80 = 0

x(x + 10) - 8(x + 10) = 0

x - 8 = 0

x = 8

The width is 8 meters and the length is 10m.

The perimeter will be:

= 2(8m + 10m)

= 2 × 18m

= 36m

In conclusion, the correct option is 36 meters.

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