Question

Find area of shaded portion.​

Answer 1

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Answer 2

Given :

• Length of the Rectangle (l) = 19 cm.
• Breadth of the Rectangle (b) = 13 cm.
• Length of side os square (a) = 5cm.

To Find :

• Area of the shaded portion

Formula Applied :

$\underline{\boxed{\sf{Area_{(Rectangle)}=l \times b}}}$

$\underline{\boxed{\sf{Area_{(Square )}= a^2 }}}$

Explanation :

• Area of the shaded portion can be found by Reducing the area of square from the area of rectangle. So we need to find Area of Rectangle and Square by the given formulas Respectively.

$\underline{\boxed{\sf{Area_{(Shaded \:Portion)}=Area_{(Rectangle)}-Area_{(Square)}}}}$

Solution :

• ${\sf{Area_{(Rectangle)}=l \times b}}$

$\implies \sf{19 \times 13}$

${\boxed{\sf{Area \: of \: Rectangle= 247cm^2 }}}$

• ${\sf{Area_{(Square )}= a^2 }}$

$\implies \sf{5^2 }$

$\implies \sf{5 \times 5}$

${\boxed{\sf{Area \: of \: Square = 25 cm^2 }}}$

• ${\sf{Area_{(Shaded \:Portion)}=Area_{(Rectangle)}-Area_{(Square)}}}$

$\implies \sf{247cm^2 - 25cm^2}$

$\boxed{\sf{Area \: of \: Shaded\:portion = 222 cm^2 }}$

Required Answer :

Area of shaded portion of the given diagram is $\underline{\sf{222\: cm^2. }}$