A builder set up a wooden frame in which to pour concrete for a foundation to a house. The length of the wooden frame is 24 feet
. The width is 32 feet. The diagonal is 40 feet. Which best describes the foundation? The foundation cannot be a rectangle: 24 + 32 not-equals 40. The foundation cannot be a rectangle: (24 + 32) squared not-equals 40 squared. The foundation cannot be a rectangle: StartRoot 24 squared + 23 squared EndRoot not-equals 40 squared. The foundation may be a rectangle: 24 squared + 32 squared = 40 squared.
The foundation may be a rectangle: 24 squared + 32 squared = 40 squared.
Explanation:
A rectangle is a quadrilateral (that is it has four sides). The opposite sides of a rectangle are parallel to each other. Also the opposite sides are equal to each other. The four angles of a rectangle are equal to each other and measure 90° each.
The diagonals of a rectangle bisect each other. The relationship between the length, width and diagonal of a rectangle is given by:
Diagonal² = length² + width²
Given that length = 24 feet, width = 32 feet, diagonal = 40 feet, we prove that it is rectangle using:
A gerund phrase is the phrase that has a gerund, which is a noun derived from a verb in its base form plus -ing. The gerund phrase can also include other objects to complement it. In this sentence, the correct choice that identifies the gerund phrase is "making the class laugh constantly" because it is the only option that actually contains a gerund: making.
