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inna [77]
3 years ago
6

Need help with number 2 20 points best answer

Mathematics
1 answer:
Naddika [18.5K]3 years ago
6 0

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.

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