Question

find the area of the shaded region in which ABCD is a rectangle and APQD is a square
please give step by step explanation​

Answer 1

Answer:

area if shaded region

= area of rectangle abcd - area of rectangle PVC

= answer.

Step-by-step explanation:

hope it works....

Answer 2

$\huge{\underline{\green{\rm{Solution:}}}}$

$\large{\underline{\red{\rm{Given:}}}}$

• $\rm{ABCD\:is\:a\: rectangle\:whose\: dimensions\:are}$
• $\rm{length=12cm}$
• $\rm{breadth=8cm}$
• $\rm{APQD\:is\:a\: square\:whose\: sides\:are}$
• $\rm{Side\:of\: square=8cm}$

$\large{\underline{\red{\rm{To\: Find:}}}}$

• $\rm{To\: calculate\:the\: area\:of\:shaded\: region}$

$\small{\underline{\red{\rm{According\:to\: formula\:to\: calculate\: their\: area:}}}}$

• $\rm\green{Area\:of\: square=side^2}$
• $\rm\green{Area\:of\: rectangle=l*b}$

$\small{\underline{\purple{\rm{Now\: solving\:area\:as\:per\:the\:above\: information:}}}}$

$\rm{\implies Area\:of\:rectangle=l*b}$

$\rm{\implies Area\:of\: rectangle=12*8}$

$\rm\green{\implies Area\:of\: rectangle=96\:cm^2}$

$\rm{\implies Area\:of\: square=side^2}$

$\rm{\implies Area\:of\: square=8^2}$

$\rm\green{\implies Area\:of\: square=64\:cm^2}$

Hence

$\rm{\implies Area\:of\:shaded\: region=rectangle\: area-square\:area}$

$\rm{\implies Area\:of\:shaded\: region=96-64}$

$\rm\red{\implies Area\:of\:shaded\: region=32\:cm^2}$