Question

-The dimensions of a rectangular garden were 2 m by 4 m. Each dimension was

Increased by the same amount. The garden then had an area of 48 m2. Find the
dimensions of the new garden. (Hint: let x be the amount of increase.)

Answer 1

Answer:The new garden is 7m by 8m.

Step-by-step explanation:The dimensions of a rectangular garden were 4 m by 5 m. Each dimension was increased by the same amount. The garden then had an area of 56 m^2. Find the dimensions of the new garden.

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Answer 2

Answer: 4 m

Explanation:

Let the amount each dimension was increased by be x.

Now we can set up a equation.

(2+x)(4+x) = 48

8 + 2x + 4x + x^2 = 48

x^2 + 6x - 40 = 0.

We can factor the left side of the equation.

(x+10)(x-4) = 0.

Therefore, x equals either -10 or 4. Since you can't increase a dimension by a negative amount, x must equal to 4.