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f(x) =2x +244
The given function f represents the perimeter, in centimeters (cm), of a rectangle with a length of x cm and a fixed width. What is the width, in cm, of the rectangle?

The area of a rectangle is 57 square inches. The length of the longest side of the rectangle is 19 inches. What is the length, in inches, of the shortest side of this rectangle?

The perimeter of triangle \( ABC \)  is 17 inches, the length of side \( AB \) is 4 inches, and the length of side \( AC \) is 7 inches. What is the length, in inches, of side \( BC \)?

A graphic designer is creating a logo for a company. The logo is shown in the figure above. The logo is in the shape of a trapezoid and consists of three congruent equilateral triangles. If the perimeter of the logo is 20 centimeters, what is the combined area of the shaded regions, in square centimeters, of the logo?

The perimeter of an equilateral triangle is 624 centimeters. The height of this triangle is k\( \sqrt{3} \)  centimeters, where k is a constant. What is the value of k ?

A right rectangular prism has a length of 12 centimeters (\( \ \ cm \)), a width of 11, and a height of 16\( \ \ cm \). What is the surface area, in \( \ \ cm^2 \) , of the right rectangular prism?

A conservation specialist hung artificial nesting structures each in the shape of a right rectangular prism for a species of native owl. Each structure has a height of 11 inches. The length of each structure's base is x inches, which is 1 inch more than the width of the structure's base. Which function V gives the volume of each structure, in cubic inches, in terms of the length of the structure's base?

A triangular prism has a height of 9 centimeters (cm ) and a volume of 234 \( cm^{3} \) . What is the area, in \( cm^2 \), of the base of the prism? (The volume of a triangular prism is equal to Bh, where B is the area of the base and h is the height of the prism.)

A hemisphere is half of a sphere. If a hemisphere has a radius of 56 inches, which of the following is closest to the volume, in cubic inches, of this hemisphere?

A hemisphere is half of a sphere. If a hemisphere has a radius of 57 inches, which of the following is closest to the volume, in cubic inches, of this hemisphere?

A right square prism has a height of 16 units. The volume of the prism is 64 cubic units. What is the length. in units. of an edge of the base?

Cylinder A and Cylinder B are similar right cylinders. The radius of Cylinder A is 9, and its surface area is dπ. The surface area of Cylinder B is tπ . What is the value of t − d ?
(Note: surface area of a cylinder is \( 2 \)πrh\( +2 \)π\( r^{2} \)  )