Solving Literal Equations with Geometry Formulas

Area of a square is  $A=s^2$  . Which equation will find the side of a square?

•  $s=2A$  

•  $s=A^2$  

•  $s=\sqrt{A}$  

•  $s=\sqrt{2A}$  

 Area of a rectangle is  $A=lw$ . Which equation will find the width of the rectangle?

•  $w=Al$  

•  $w=\frac{A}{l}$  

•  $w=\frac{l}{A}$  

•  $l=\frac{A}{w}$  

  Area of a trapezoid is  $A=\frac{1}{2}h\left(b_1+b_2\right)$ . What is the equation to find the height of a trapezoid?

•  $h=\frac{2A}{\left(b_{1\ }+b_2\right)}$  

•  $h=\frac{A}{2\left(b_1+b_2\right)}$  

•  $h=\frac{\left(b_1+b_2\right)}{2A}$  

•  $h=\frac{\left(b_1+b_2\right)}{2A}$  

   Area of a triangle is  $A=\frac{1}{2}bh.$ Which equation will find the base of the triangle?

•  $b=\frac{2A}{h}$  

•  $h=\frac{2A}{b}$  

•  $b=\frac{h}{2A}$  

•  $b=\frac{A}{2h}$  

Area of a circle is $A=\pi r^2.$ Which equation will find the radius of the circle?

•  $r=\sqrt{A\pi}$  

•  $r=\sqrt{\frac{A}{\pi}}$  

•  $r=A^2\pi$  

•  $r=\pi\sqrt{A}$  

Volume of a rectangular solid is $V=lwh.$  Which equation will find the height of the rectangular solid?

•  $h=Vlw$  

•  $h=\frac{V}{lw}$  

•  $h=\frac{lw}{V}$  

•  $l=\frac{V}{wh}$  

Volume of a right circular cylinder is  $V=\pi r^2h.$  Which equation will find the height of a right circular cylinder?

•  $h=\frac{V\pi}{r^2}$  

•  $h=\frac{r^2}{V\pi}$  

•  $h=\frac{V}{\pi r^2}$  

•  $h=\frac{\pi r^2}{V}$  

Surface area of a sphere is $S=4\pi r^2.$  Which equation will find the radius of a sphere?

•  $r=\sqrt{4S\pi}$  

•  $r=\sqrt{\frac{S}{4\pi}}$  

•  $r=\left(4S\pi\right)^2$  

•  $r=4\pi\sqrt{S}$  

Volume of a right circular cone is  $V=\frac{1}{3}\pi r^2h.$  Which equation will find the height of a right circular cone?

•  $h=\frac{1}{3}V\pi r^2$  

•  $h=\frac{3V}{\pi r^2}$  

•  $h=3V\pi r^2$  

•  $h=\frac{V\pi r^2}{3}$  

Volume of a right circular cylinder is  $V=\pi r^2h.$   
 Which equation will find the radius of a right circular cylinder?

•  $r=\frac{V^2}{\pi h}$  

•  $r=\frac{V}{\pi h}$  

•  $r=\sqrt{\frac{V}{\pi h}}$  

•  $r=\frac{\sqrt{V}}{\pi h}$