Question

Juan has a rectangular garden in their backyard. One day, obeying the "stay at home" policy of the government, he plans to replant the vegetables in his garden since it was not replanted after the fruitful harvest last year because of his new work. The length of the rectangular garden is 6 more than the width. The area is 27 sq. units. Find the dimensions of the rectangular garden and show your solution please.

NEED HELP ASAP!!! ​

Answer 1

Length = 9 units, Breadth = 3 units

Explanation:

Let the width of the rectangular garden is b and its length is (6+b).

The area of the rectangular garden is 27 sq. units.

We need to find the dimensions of the rectangular garden.

The area of a rectangle is given by :

A = lb

Putting the values,

`b(6+b)=27\\\\b^2+6b-27=0\\\\b^2+9b-3b-27=0\\\\b(b+9)-3(b+9)=0\\\\b=-9,b=3`

Neglecting negative value, the width of the garden is 3 units.

Length = (6+b)

= (6+3)

= 9 units

Hence, the dimension of the rectangular garden is 3 unit × 9 unit.