Question

A diagonal of a quadrilateral is 64 m and the
perpendiculars drawn on it from the opposite
vertices are 21 m and 32 m. Find its area.
.​

Answer 1

Answer:

Area of the quadrilateral is 1,696m²

Explanation:

Area of a quadrilateral is given by :

→ ½ • $d$ • $h_1$ + $h_2$

Where,

• $d$ is 64m.
• $h_1$ is 21m.
• $h_2$ is 32m.

So, the area of the quadrilateral is :

→ ½ • 64 • (21 + 32)

→ 32 • 53

→ 1696m²

∴ Area of the quadrilateral is 1,696m²

Answer 2

QUESTION⇩⇩

A diagonal of a quadrilateral is 64 m and the

perpendiculars drawn on it from the opposite

vertices are 21 m and 32 m. Find its area.

ANSWER⇩⇩

Area of the quadrilateral is 1,696m²

✎GIVEN

diameter =64m

height1= 21m

height2= 32m

✎TO FIND

AREA=????

彡LET'S DO IT彡

Area of a quadrilateral is given by ⇢

$⇝ \frac{1}{2} ×d × h1 × h2$

⇝So, the area of the quadrilateral is

⇝ ½ × 64 × (21 + 32)

⇝ 32 × 53

${\huge{\boxed{\underline{\pink{⇝1696m²}}}}}$

∴ Area of the quadrilateral is 1,696m²

$\dag\purple{HOPE \: \: IT \: \: HELPS}\dag$