The rectangular base is \$4.50 ext cm\$ much shorter than the height and the rectangle has a surface ar area the \$135 ext cm\$. Resolve the rectangle elevation with an equation. Ns know and feel the this is pretty easy, yet don"t know where i am do a mistake.

You are watching: How do you find the height of a rectangle

So much I have actually tried

\$(x-4.5)(x+4.5) = 135\$ and also \$x^2 = 135\$.  You have actually to collection up two equations. We recognize that the basic \$x\$ is \$4.50 ext cm\$ much shorter then the height \$y\$. Hence,

\$\$y=x+4.50 ext cm.\$\$

The surface ar area \$A\$ is provided by

\$\$A=xy=135 ext cm^2.\$\$

Plugging \$y=x+4.50 ext cm\$ into the equation for the surface area we obtain:

\$\$135 ext cm^2=x(x+4.50 ext cm) implies x^2+4.5x-135 =0.\$\$

Now, settle with the quadratic formula to obtain \$x\$ in \$ extcm\$. Deserve to you perform this? Thanks because that contributing response to sdrta.netematics Stack Exchange!

But avoid

Asking because that help, clarification, or responding to various other answers.Making statements based upon opinion; back them increase with referrals or personal experience.

Use sdrta.netJax to format equations. sdrta.netJax reference.

See more: How Many Electron Shells Does Sodium Have, How Many Valence Electrons Does Sodium Have

To discover more, see our tips on writing great answers.

## Not the price you're looking for? Browse various other questions tagged algebra-precalculus geometry problem-solving or ask your very own question.

provided the area and also height that a rectangle, what is the width of the base of a circular segment v the very same height and also area?
The perimeter of a rectangle is \$48\$ m and also its area is \$135\$ m\$^2\$. Determine the sides of the rectangle.
just how do I recognize the size of the much shorter base the a trapezoid indigenous the much longer base length, height, and also only two angles?
The basic of a pyramid is a rectangle with the surface ar area the \$S\$ and angle between diagonals of \$60°\$. site style / logo © 2021 ridge Exchange Inc; user contributions licensed under cc by-sa. Rev2021.10.29.40598

sdrta.netematics stack Exchange works ideal with JavaScript permitted 