Problem Solving

Question

0

ElleTyro

Asked: April 6, 20212021-04-06T06:05:03+00:00 2021-04-06T06:05:03+00:00In: Middle School/Junior Secondary School

Problem Solving

0

The area of a rectangular field is equal to 300 square meters. Its perimeter is equal to 70 meters. Find the length and width of this rectangle.

You must login to add an answer.

Need An Account,

1 Answer

acedstud · Accepted Answer · 2021-04-06T06:21:25+00:00

Let the length and the width of the rectangle be $l$ and $w$ respectively, then the area of the rectangle is given by $lw=300$ . . . . . (1) and the perimeter is given by $2(l+w)=70\Rightarrow l+w=\dfrac{70}{2}=35$ . . . . . (2).

From the second equation, $l=35-w$ . . . . . (3).

Substituting the third equation into the first equation, we have $(35-w)w=300\Rightarrow35w-w^2=300\Rightarrow w^2-35w+300=0$ .

$\Rightarrow(w-20)(w-15)=0\Rightarrow w-20=0$ or $w-15=0$ .

$\Rightarrow w=20$ or $w=15$ .

Thus, $l=35-20=15$ or $l=35-15=20$ .

Therefore, taking that the length is greater than the width, then the length of the rectangle is 20 meters and the width is 15 meters.

Questions

Answers

Best Answers

Points

<img width="1024" height="218" class="signup-logo default_screen" alt="Sign Up" src="https://acedstudy.com/wp-content/uploads/2020/10/LogoHz.png"> <img width="1024" height="218" class="signup-logo retina_screen" alt="Sign Up" src="https://acedstudy.com/wp-content/uploads/2020/10/LogoHz.png">

<img width="1024" height="218" class="login-logo default_screen" alt="Sign In" src="https://acedstudy.com/wp-content/uploads/2020/10/LogoHz.png"> <img width="1024" height="218" class="login-logo retina_screen" alt="Sign In" src="https://acedstudy.com/wp-content/uploads/2020/10/LogoHz.png">

AcedStudy Latest Questions

Problem Solving

1 Answer

Related Questions