The area is 396 square feet. The length is (x+3) and the width is (x+7) feet. Find the dimensions of the room

Mathematics

2 answers:

nikdorinn [45]3 years ago

5 0

Answer:

The dimensions are 18 feet by 22 feet.

Step-by-step explanation:

The length is (x+3) and the width is (x+7) feet.

The area is 396 square feet.

The area is found by multiplying length and width.

$(x+3)(x+7)=396$

=> $x^{2} +3x+7x+21=396$

=> $x^{2} +10x+21-396=0$

=> $x^{2} +10x-375=0$

Now solving this quadratic equation, we get the roots ;

x = 15 and x = -25 (ignore the negative value)

Hence we will take x = 15

The length is (x+3) = $15+3$ = 18 feet

The width is (x+7) = $15+7$ = 22 feet

We can check this as :

$18\times22=396$ (length x width = area)

Ipatiy [6.2K]3 years ago

3 0

Answer:

(x+3) x is 15

(x+7) x is -25

Step-by-step explanation:

Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

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