Concept of Area
Read this topicExplanations 7
- What's the simplest area? A rectangle! If we have a more complicated region, we can break it up into small rectangles (perhaps squares, for simplicity).
By Evan Chen, Expii Team, Moor Xu
- Area is the extent or measurement of a surface or piece of land. For example, the area of a triangle would be what is enclosed by the triangle.
By Freya Edholm
- The amount of space inside the boundary of a flat (2-dimensional) object such as a rectangle, triangle, or circle. All 2-dimensional shapes do not have thickness.
By Ohm Patel, Brian Ma, wheresmycookie
- Say you have a figure AAA, and you do a transformation on AAA to get figure BBB. But this is a congruence transformation, so A≅BA \cong BA≅B. Let the area of AAA be kkk.
By Freya Edholm
- Why are congruence translations area preserving? Well, location is a relative concept, with one location being based on another location (or in Cartesian Coordinates, the origin…
By Bad Toed
- Area is the amount of space a shape takes up in two dimensions. In one dimension, length is the number of unit line (segments) that can fit end to end along the line; in two dim…
By Cassie Taylor, andrea janov, Victor Wang, Alex Federspiel
- Area is, intuitively, the amount of 222-dimensional space that a figure occupies. The problem with this definition is that it is almost impossible to work with it rigorously, so…
By Sujay Kazi, Alex Federspiel
Problems 17
- You fold a piece of paper of area 100 in half, and then in half again. What is the area of the resulting figure?
- Let NNN be the number of ordered pairs of integers (x,y)(x, y)(x,y) such that 4x2+9y2≤1000000000.4x^2 + 9y^2 \le 1000000000.4x2+9y2≤1000000000. Let aaa be the first digit of NNN…
- What is the area of the white shape?
- Olivia Munn was selecting dresses for the Academy Awards, and one of her finalists was a full length gown covered in 6mm sequins. How many sequins are there in her dress? \\ (Th…
- Expii's engineers are working late into the night and are ordering pizza. Carl's Pizza has a medium 16-inch pizza or a large 18-inch pizza. How much more pizza is in the 18-inch…
- You and your friend are having a picnic in the park, you notice that when you put your thumb against the ground, there are 555 blades of grass lined up from the tip of your thum…
- If all of the 777 billion people in the world stood shoulder to shoulder, packed like sardines, what is the smallest country that they could fit inside?
- Kim is looking for a carpet for her room. Her favorite online home decor store has some new carpets with area 15 m2m^2m2. The carpets are all rectangle-shaped with different dim…
- Above is the floor plan to an apartment in the Squirrel Hill neighborhood of Pittsburgh, PA. The apartment is being listed for sale and buyer want to know the price per square-f…
- An engineer for Boeing (an aircraft manufacturing company) is designing a commercial airplane. He needs to make sure there is enough room to freely walk in the aisle between two…
- Consider the picture above. If you were rearranging the paintings on this wall, without removing or adding anything, how would you know if a painting would fit in a certain spot…
- Consider the shape above. Which of the following are areas? \\ Check all that apply.
- Consider The Pentagon (pictured above). If you were to draw a diagram of The Pentagon, then shade the area of the building itself, what would it look like? \\ Assume all five si…
- You are tasked to paint this view of modern Mexican architecture. Before you paint, you sketch and draft out your general boundaries. Among all the colors (of the multi-colored …
- A country club wants to get custom covers to protect the pool during the times the pool and club are not open. Suppose the price depends on the total area of the pool. Which uni…
- Does the area of a shape equal the product of its base and height?
- If two shapes have the same perimeter, do they have the same area?