Find the area of the quadrilateral ABCD in which AD = 42 cm , = 90⁰ and is an equilateral triangle having each side equal to 26 cm. Also, find the perimeter of the quadrilateral. [Given = 1.73]

Question

Find the area of the quadrilateral ABCD in which AD = 42 cm , = 90 0 and is an equilateral triangle having each side equal to 26 cm. Also, find the perimeter of the quadrilateral. [Given = 1.73]

Philoid · Accepted Answer

Let us consider a right triangle ABD,

By using Pythagoras theorem in this, we get

AB =

=

= 10 cm

We know that,

Area of triangle =

=

= 120 cm²

We also know that,

Area of an equilateral triangle BCD = sq units

=

= 292.37 cm²

Therefore,

Area of quadrilateral ABCD = Area of triangle ABD + Area of triangle BCD

= 120 + 292.37

= 412.37 cm²

Find the area of the quadrilateral ABCD in which AD = 42 cm , = 900 and is an equilateral triangle having each side equal to 26 cm. Also, find the perimeter of the quadrilateral. [Given = 1.73]

Find the area of the quadrilateral ABCD in which AD = 42 cm , = 90⁰ and is an equilateral triangle having each side equal to 26 cm. Also, find the perimeter of the quadrilateral. [Given = 1.73]