Question

Need help with number 2 20 points best answer

Answer 1

The possible dimensions are -7 and -8 units.

Solution:

Area of the rectangular skateboard park = $x^{2}+15 x+56$

To find the dimensions of the park.

Let us factor the polynomial:

$x^{2}+15 x+56=0$

15x can be written as 7x + 8x.

$x^{2}+7 x+8x+56=0$

$(x^{2}+7 x)+(8x+56)=0$

Take x common in 1st two terms and 8 common in next two terms.

$x(x+7 )+8(x+7)=0$

Make sure that the remaining terms in the bracket should be equal.

Now, take the common term (x + 7) outside from both terms.

$(x+7)(x+8)=0$

$x+7=0 \ \text{or} \ x + 8 = 0$

$x=-7 \ \text{or} \ x = -8$

If the length of the park is -7 then the width is -8.

If the length of the park is -8 then the width is -7.

The possible dimensions are -7 and -8 units.