Mathematics: The area (in square inches) of a rectangle is given by the polynomial function A(p) = p2 + 9p + 20. If the length of the rectangle is (p + 5) inches, what is the width?

The area (in square inches) of a rectangle is given

amandajbrewerdavis

05.05.2021

Width = p + 4

Step-by-step explanation:

Given

Area = p^2 + 9p + 20

Length = p + 5

Required

Determine the width

The area of a rectangle is:

Area = Length * Width

This gives:

p^2 + 9p + 20= (p+5)* Width

Expand

p^2 + 4p + 5p + 20= (p+5)* Width

Factorize

p(p + 4) + 5(p + 4)= (p+5)* Width

(p + 5) (p + 4)= (p+5)* Width

Divide both sides by p + 5

p + 4= Width

Width = p + 4

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awrgiAg

20.04.2023

The total distance he ran and rode is 16.05 miles

Step-by-step explanation:

Here, we want to find the total distance that was ran and biked by Jake

For the running, the track measures 1.2 miles and he ran two laps.

That gives a total of 1.2 * 2 = 2.4 miles

For the biking, the track is 4.55 miles and he went 3 laps.

The total amount of laps went is 4.55 * 3 = 13.65 miles

So the total amount of distance he has biked and ran is 13.65 + 2.4 = 16.05 miles

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