The perimeter of an isosceles trapezoid is 62 cm. if three sides are equal in length and the fourth side is 10 cm longer, find the area of the trapezoid.

The area of trapezoid is

Further explanation:

The formula of area of trapezoid can be expressed as follows,

Given:

The perimeter of an isosceles trapezoid is 62 cm.

The length of the fourth side is

Explanation:

Consider the length of the side of trapezoid as

Consider the longer side of the trapezoid as

Perimeter of trapezoid is 62 cm.

The longer side of the trapezoid is

The semi perimeter of triangle ABE can be obtained as follows,

The area of triangle ABE can be obtained as follows,

The height of the trapezoid can be obtained as follows,

The height of the trapezoid is 12 cm.

The area of parallelogram ABED can be obtained as follows,

The area of trapezoid can be calculated as follows,

The area of trapezoid is

Kindly refer to the image attached.

Learn more:

1. Learn more about inverse of the functionhttps://.

2. Learn more about equation of circle .

3. Learn more about range and domain of the function

Answer details:

Grade: Middle School

Subject: Mathematics

Chapter: Triangles

Keywords: triangle, triangle pair, equal angles, sides, area, trapezoid, two triangles, bases, intersecting, diagonal, segment, sector, minor segment.

1696 hundred thousand

step-by-step explanation: