Question

Sanjay needs 90 meters of fence to go around a rectangular garden.

The length l of the garden is three times its width w.

Three of these equations give the correct value for w.
Which equation does NOT?

Answer 1

w+3w+w+3w=90

Explanation:

correct

Answer 2

Option A is incorrect.

Explanation:

Length of the given parts is l and width is w meters.

It is given in the question that Sanjay needs 90 meters of fence to go around the rectangular park.

It means perimeter of the park is 90 meters.

Since perimeter of a rectangle = 2(length + width)

= 2(L + w)

It is given that length of garden is three times of width so l = 300

therefore, equation will be

Perimeter = 2[3w + w]

90 = 2[3w + w]

Option A ⇒ w + 3w = 90 ⇒ incorrect

Option B ⇒ w + 3w + w + 3w = 90

2(w + 3w) = 90 ⇒ Correct option

Option C ⇒ 2w + 2 (3w) = 90

2 [w + 3w] = 90 ⇒ Correct option

Option D ⇒ 2(3w + w) = 90 ⇒ Correct option

therefore Option A is incorrect option.