Question

the given figure, ABCD is a rectangle of
dimensions 6 cm and 10 cm. E, F, G and H are the
mid-points of the sides taken in order. Find the area
of the shaded portion

Answer 1

Given:-

• ABCD is a Rectangle, AB = DC => 10cm & AD = BC => 6cm.
• E,F,G,H are Midpoints of AB, BC, CD & AD respectively.

To Find:-

• Area of Rectangle Shaded Region.

Solution:-

Let The Center of GE & HF be O

• DG = GC
• CF = FB

DG+GC = DC

→ 2GC = 10

→ GC = 10/2

→ GC = 5cm.

CF+FB = BC

→ 2CF = 6

→ CF = 6/2

→ CF = 3cm.

$\boxed{\sf{☆\;Area\;of\; Rectangle = Length×Breadth}}$

Area of Rectangle GOFC = GC×CF

→ 5×3

☞ 15cm²

• Area of Shaded Region ➝ $\pink{\bold{15cm²}}$

$\Large{✓}$

Hope It Helps You ✌️

Answer 2

$\huge\bf{รσℓµƭเσɳ}$

☘︎ Let The Center of GE & HF be O

➪ DG = GC

➪ CF = FB

☘︎ DG+GC = DC

➪ 2GC = 10

➪ GC = 10/2

➪ GC = 5cm.

☘︎ CF+FB = BC

➪ 2CF = 6

➪ CF = 6/2

➪ CF = 3cm.

☘︎ $\fbox\red{Area\;of\; Rectangle = Length×Breadth}$

☘︎ Area of Rectangle GOFC = GC×CF

➪ 5×3

➪ 15cm²

☘︎ Area of Shaded Region $\pink{\bold{15cm²}}$