As the name suggests, a parallel is a quadrilateral created by two pairs of parallel lines. It differs from a rectangle in terms of the measure up of angle at the corners. In a parallelogram, the contrary sides space equal in length, and also opposite angles space equal in measure, while in a rectangle, all angles space 90 degrees.

You are watching: What is the area of a parallelogram if its length is x+4 and its height is x+3

In this article, you will certainly learn just how to calculate the area of a parallelogram utilizing the parallel area formula.

To discover how that is area is different from other quadrilaterals and also polygons, visit the ahead articles.

How to uncover the Area of a Parallelogram?

The area the a parallelogram is the an are enclosed through 2 pairs of parallel lines. A rectangle and also a parallelogram have comparable properties, and therefore, the area that a parallelogram is equal to the area that a rectangle.

Area that a parallel Formula

Consider a parallelogram ABCD displayed below. The area of the parallelogram is the an are bounded by the political parties AD, DC, CB, and AB.

The area of parallelogram formula states;

Area of a parallelogram = base x height

A = (b * h) Sq. Units

Where b = the base of a parallel and,

h = The altitude or the elevation of a parallelogram.

The elevation or altitude is the perpendicular line (usually dotted) from the peak of a parallelogram to any type of of the bases.

*
*

Example 7

Calculate the area the a parallelogram whose diagonals are 18 cm and 15 cm, and the edge of intersection between the diagonals is 43°.

Solution

Let d1 = 18 cm and d2 = 15 cm.

β = 43°.

See more: Can You Substitute Minced Garlic For Garlic Cloves To Minced Garlic Conversion

A = ½ × d1 × d2 sine (β)

= ½ × 18 × 15 sine (43°)

= 135sine 43°

= 92.07 cm2

Therefore, the area the the parallelogram is 92.07 cm2.

Practice Questions

A flag has a basic of 2.5 ft and also a height of 4.5 ft. If the flag is parallelogram-shaped, discover the area the the flag.Consider a parallelogram that has an area double the area of a triangle. If both of these shapes have actually a common base, what is the relation between their heights?

Answers