Question

A square piece of plywood has side 8 cm. A parallelogram with base 6 cm and height 5 cm is cut from the piece. find the area if the remaining piece.
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Answer 1

$\sf \mathfrak{\underline{\red{Given:-}}}$

• A square piece of plywood has side 8 cm.

• A parallelogram with base 6 cm and height 5 cm is cut from the piece.

$\sf \mathfrak{\underline{\blue{To\:Find:-}}}$

• The area of the remaining piece.

$\sf \mathfrak{\underline{\pink{\large{Solution:-}}}}$

Given that,

Side of square = 8cm.

We know,

$✷ \underline{\boxed{\pink{\sf Area\:of\:square = (Side)^2}}}$

$\sf \implies Area = 8 × 8 \\\\</p><p>\implies Area = 64cm^2$

Also,

Area of parallelogram :

$✷\sf \underline{\boxed{\purple{\sf Area= base × height}}}$

Given that,

• base = 6cm & height =5cm.

$\sf \implies Area= 6×5 \\\\\\</p><p>\implies 30cm^2.$

Now,

$➜ \sf \orange{Remaining \:Area \:= \:Area \:of\: square\: -\: Area\: of \:parallelogram.}$

$\sf \implies 64 - 30 \\\\\\</p><p>\implies 34cm^2.$

$\therefore \sf \underline{\boxed{\pink{Remaining\:Area= 34cm^2}}}$

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Answer 2

$\sf \mathfrak{\underline{\red{Given:-}}}$

A square piece of plywood has side 8 cm.

A parallelogram with base 6 cm and height 5 cm is cut from the piece.

$\sf \mathfrak{\underline{\blue{To\:Find:-}}}$

The area of the remaining piece.

$\sf \mathfrak{\underline{\pink{\large{Solution:-}}}}$

Given that,

Side of square = 8cm.

We know,

$✷ \underline{\boxed{\pink{\sf Area\:of\:square = (Side)^2}}}$

$\sf \implies Area = 8 × 8 \\\\</p><p>\implies Area = 64cm^2$

Also,

Area of parallelogram :

$✷\sf \underline{\boxed{\purple{\sf Area= base × height}}}$

Given that,

base = 6cm & height =5cm.

$\sf \implies Area= 6×5 \\\\\\</p><p>\implies 30cm^2.$

Now,

$➜ \sf \orange{Remaining \:Area \:= \:Area \:of\: square\: -\: Area\: of \:parallelogram.}$

$\sf \implies 64 - 30 \\\\\\</p><p>\implies 34cm^2.$

$\therefore \sf \underline{\boxed{\pink{Remaining\:Area= 34cm^2}}}$

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