Area is Perimeter

The value of a square's perimeter in inches is the same as the value of its area in square inches. What is the length of it's side?

Perimeter is Area

A rectangle is 3 inches longer than it is wide. The value of it's perimeter in inches is the same as the value of its area in square inches. What is the width of the rectangle?

Find a Line

Find the equation of a line that passes through −3 on the y axis and 2 on the x axis.

Circle and Square II

Which has the greater area: a 10-centimeter square, or a circle with a diameter of 11 centimeters? Explain your answer.

Equilateral Perimeter

The perimeter of an equilateral triangle is twice the area. What is the length of a side?

Twin Triangles

Line CD is parallel to AB. What is the ratio of the area of ΔACE to ΔBDE? How do you know?

Quadrilateral Area 4

Use what you know of triangles to find the area of the quadrilateral shown above.

Quadrilateral Area 3

Use what you know of triangles to find the area of the quadrilateral shown above.

Quadrilateral Area 2

Find the area of the quadrilateral shown above.

Quadrilateral Area 1

Find the area of the quadrilateral shown above.

Maximum Apex

The base of a triangle is twice its height. What is the maximum measure of the angle opposite the base (the apex)?

Angle Ratio

The interior angles of a triangle have a ratio of 1:2:3. If the shortest side of this triangle is 2 cm, what is the length of the longest side?

Another Angle

The ratio of ∠ABC to ∠CDE is 4:5. What is the measure of ∠CBD?

Volume Tolerance

Each side of a cube must measure 1.00 inches ± 1%. What will be the percent tolerance for the volume?

Great Pyramid

The Great Pyramid of Giza was 280 cubits tall when built. Each side of the base was 440 cubits. What was the volume in cubic cubits? Round your answer to two significant digits.

Can Label

Belinda needs to design a label for a can. The can is 4³/₈" tall and 2⁷/₈" in diameter. The label requires ¹/₈" clearance for the rim at the top and bottom of the can. It must wrap around the can with at least ¹/₄" overlap for glue. To the nearest ¹/₁₆", what are the dimensions of the label Belinda must design?

Missing Segment

Line AB is parallel to line CD. Find the measure of segment AE using the information provided. Can you also find the length of segment BE?

Triangle Ratios

Line AB is parallel to line CD. The measure of segment AB is twice the measure of segment CD. What is the ratio between the area of ΔABE and ΔCDE?

Compare Areas

Line BD is parallel to line AC. What is the relationship of the area of triangle ABD to triangle BCD?

1. The areas are the same.
2. The area of ABD is greater than the area of BCD.
3. The area of ABD is less than the area of BCD.
4. Impossible to tell from given information.

Triangle Troubles

Find the value of y. Find the area of the triangle. Find the value of x. What is the measure of angle B (the top angle)?