Mathematics: Select the correct answer from each drop-down menu. the length of a rectangle is 5 inches more than its width. the area of the rectangle is 50 square inches. the quadratic equation that represents this situation is the length of the rectangle is inches.

350 ydsStep-by-step explanation:He had to run around the bleachers115+60+115+60350 yds...

Select the correct answer from each drop-down

kayyjayy636

09.03.2022

Part 1) The quadratic equation is $x^{2}-5x-50=0$

Part 2) The length of rectangle is 10 in and the width is 5 in

Step-by-step explanation:

Part 1)

Find the quadratic equation

Let

x -----> the length of rectangle

y ----> the width of rectangle

we know that

The area of rectangle is equal to

A=xy

$A=50\ in^{2}$

50=xy -----> equation A

x=y+5

y=x-5 -----> equation B

substitute equation B in equation A

$50=x(x-5)\\50=x^{2} -5x\\ x^{2}-5x-50=0$

Part 2) Find the length of the rectangle

$x^{2}-5x-50=0$

Solve the quadratic equation by graphing

The solution is $x=10\ in$

see the attached figure

Find the value of y

$y=10-5=5\ in$

therefore

The length of rectangle is 10 in and the width is 5 in

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