# A rectangular deck is 12 ft by 14 ft. When the length and width are increased by the same amount, the area becomes 288 sq. Ft. How much were the dimensions increased?

The dimensions increased by 4 feet.

### What is the area of the rectangle?

The area of the rectangle is the product of the length and width of a given rectangle.

The area of the rectangle = length × Width

Given;

Dimensions of rectangle = 12 + x and 14 + x

The area of the rectangle= (12 + x) (14 + x) = 288

x² + 26x + 168 = 288

x² + 26x - 120 = 0

(x + 30) (x - 4) = 0

x=-30, x =4

Hence, The dimensions increased by 4 feet.

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4 ft

Step-by-step explanation:

288=16 * 18

12+4=16

14+4=18

## Related Questions

11 The net force on a vehicle that is accelerating at a rate of 1.5 m/s² is 2,800 newtons. What isthe mass of the vehicle to the nearest kilogram?

Step-by-step explanation:

Given

Required

Determine the mass of the vehicle

This question will be answered using Newton's second law

Substitute values for Force and Acceleration

Make Mass the subject

---- approximated

Hence, the mass of the vehicle is 1867kg

A product p and six is wrtten as

Explanation: The word "product" is a

keyword that tells us to use multiplication.

So your answer can be written as 6 · p or just 6p.

Even though it's technically correct, I would always put

the number before the variable as a matter of form.

6p

Step-by-step explanation:

Y/9 + 5 = 0 ???????????

Step-by-step explanation:

0.4, 0.04, 0.44, 0.444, 0.404, 0.044 in order smallest first

0.04, 0.044, 0.4, 0.404, 0.44, 0.444

I'm pretty sure it's  0.04, 0.044, 0.4, 0.404, 0.44, 0.444.

Four times the quotient of 3 and 4

3

Step-by-step explanation:

3

Step-by-step explanation:

The quotient of 3 and 4 is 0.75.

3/4 = 0.75

--

0.75 x 4 = 3...

Look at the square pyramid shown below. Which of the equation best represents volume of this pyramid terms of H?F. V = 2h cubic units

G. V = 36h cubic units

H. V = 18h cubic units

J. V = 12h cubic units ​

J. V = 12h cubic units

Step-by-step explanation:

Volume if a square pyramid = ⅓*a²*h

Where,

h = height = ?

a = edge = 6 in.

Plug in the values

Volume = ⅓*6²*h

V = ⅓*36*h

V = 12*h

V = 12h cubic units