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GOT ANOTHERONE DUE IN 6 MIN PLEASE HELP FAST!!!!!!!!!!!!!!!!!!!!!

GOT ANOTHERONE DUE IN 6 MIN PLEASE HELP FAST!!!!!!!!!!!!!!!!!!!!!-example-1
User Ares Draguna
by
2.6k points

2 Answers

10 votes
10 votes

Given:-

➾Length(L) of bigger rectangle =
\sf{9+3\: =\:12}units.

➾Length(l) of smaller rectangle = 9units.

➾Breadth (B) of bigger rectangle =
\sf{4+4 \:=\: 8}units.

➾Breadth(b) of smaller rectangle = 4 units.

To Find:-

➾Area of the shaded region.

Solution:-

➾We can find the area of shaded region by subtracting area of smaller rectangle from area of bigger rectangle(that is whole rectangle including shaded and non shaded region).

So,

Area of bigger rectangle =
\sf{L×B}(putting the value of L and B from the above given)

=
\sf{8×12}

=
\sf{96unit^2}

Similarly,

Area of smaller rectangle =
\sf{l×b}(putting the value of l and b from the above given)

=
\sf{9×4}

=
\sf{36unit^2}

Now,

Area of shaded region = Area of bigger rectangle - Area of smaller rectangle.


\sf{= 96-36}


\sf{= 60unit^2.}

Therefore, area of shaded region
\sf{= 60unit^2.}

__________________________________

Hope it helps you:)

User Roundtheworld
by
2.5k points
19 votes
19 votes


\bold{\huge{\underline{ Solution }}}

Given :-

  • We have given one rectangle whose 3 by 4th part is shaded and remaining part is non shaded.

To Find :-

  • We have to find the area of shaded region of the given figure .

Let's Begin :-

Here, We have

  • The dimensions of large rectangle as 12 units and 8 units
  • That is,

  • \sf{ Length = 9 + 3 = 12 \: units}

  • \sf{ Breath = 4 + 4 = 8 \: units}
  • The dimensions of non shaded rectangles are 9 units and 4 units

We know that,

Area of rectangle


\bold{\red{ = Length {*} Breath }}

Subsitute the required values,

Area of large rectangle


\sf{ = 12 {*} 8 }


\sf{ = 96 \:units^(2)}

Thus, The area of large rectangle is 96 units² .

Now,

Area of non - shaded rectangle


\sf{ = 9 {*} 4 }


\sf{ = 36\: units^(2)}

Thus, The area of non shaded rectangle is 36 units² .

Therefore,

Area of shaded region

= Area of large rectangle - Area of non shaded rectangle

Subsitute the required values,


\sf{ = 96 - 36}


\sf{ = 60\: units^(2)}

Hence, The total area of shaded region is 60 sq.units.

User Peter Pei Guo
by
2.9k points