How To Find Diagonal Angles of a Rectangle? Thus, the opposite angles of a rectangle are equal and measure 90°. The opposite angles in any quadrilateral are non-adjacent angles formed by two intersecting lines and we know that the adjacent sides of a rectangle are perpendicular. How To Prove All Angles of a Rectangle Are 90 Degrees?įor a pair of opposite sides of a rectangle, their adjacent sides are transversals, which results in the property that the two consecutive angles are supplementary, that is, they add up to 180°. What Type of Angles Does a Rectangle Have?įor a pair of opposite sides of a rectangle, the adjacent sides are transversals, which results in the property that the two consecutive angles are supplementary, that is, they add up to 180°. Thus, being a quadrilateral, the sum of its interior angles equals 360°. What Is the Sum of the Interior Angles of Rectangle?Ī rectangle is a type of quadrilateral having both pairs of opposite sides equal. Since a rectangle has four angles of equal measure, the measure of each must be 360/4, or 90 degrees.

Thus, a rectangle has four interior angles, each of which is equal to 90°.

Area of Squares and Rectangles WorksheetsįAQs on Angles of Rectangle What Are the Angles of Rectangle in Geometry?Ī rectangle has two pairs of equal opposite sides and four equal angles.

Difference Between Square and Rectangle.

The length of the diagonals with sides a and b can be obtained using the Pythagoras theorem, diagonal d = √( a² + b²).

The interior angles of a rectangle, as well as the square, are right angles.

A square can also be referred to as a rectangle with two opposite sides having an equal length.Thus, the diagonal of a rectangle formula is: √(a² + b²). Taking square root on both sides, √(d 2) = √( l 2 + w 2).

Applying Pythagoras theorem to the triangle so formed, d 2 = l 2 + w 2, where d is diagonal, l is length and w is the width of the rectangle. Each diagonal acts as the hypotenuse for the right triangles so formed. The rectangle is called a square if its diagonals bisect each other at right angles as the diagonals of rectangle do not bisect the respective vertex angles into equal angles.Ī diagonal divides a rectangle into two congruent triangles, that too right triangles with their hypotenuse being the same. They form linear pairs of angles, obtuse angle + acute angle, as at each of the diagonal. The diagonals bisect each other but do not form right angles at the center. This is how the human body surface area was calculated as well: subject's bodies were covered in stripes of paraffin, which were then removed, sliced and measured.The diagonals of a rectangle are of equal length and they bisect each other. Irregularly shaped areas are often divided into several rectangles when one needs to calculate their area, but can't do a precise calculation. Practical applicationsĪrea of a rectangle calculations have a vast array of practical applications: construction, landscaping, internal decoration, architecture, engineering, physics, and so on and so forth. Since in multiplication the order in which the numbers are multiplied does not matter, you need not worry about switching the places of the two measurements. A rectangular bedroom with one wall being 15 feet long and the other being 12 feet long is simply 12 x 15 = 180 square feet. For example, a garden shaped as a rectangle with a length of 10 yards and width of 3 yards has an area of 10 x 3 = 30 square yards. The area of any rectangular place is or surface is its length multiplied by its width.

Four properties of a rectangle