Question

A painting is painted on a cardboard 19 cm long and 14 cm wide, such that there is a margin of 1.5 cm along each of its sides. Find the total area of the margin

Answer 1

$\twoheadrightarrow\underline{\boxed{\pmb{\frak{\purple{ Solution }}}}}\;\bigstar$

Length of painted cardboard=19cm

& breadth of painted card =14cm

Since, there is a margin of 1.5cm long from each of its side.

• Therefore reduced length

=19−(1.5+1.5)

=19-3

=6cm

• And reduced breadth

=14−(1.5+1.5)

=14−3

=11cm

∴ $\large{ \red{\mathfrak{ \underline{\overline{\mid \:\: area\:\: \mid}}}}}$$\large{ \red{\mathfrak{ \underline{\overline{\mid \:\: of \:\: \mid}}}}}$$\large{ \red{\mathfrak{ \underline{\overline{\mid \:\: margin\:\: \mid}}}}}$=$\large{ \pink{\mathfrak{ \underline{\overline{\mid \:\: area \:\: \mid}}}}}$$\large{ \pink{\mathfrak{ \underline{\overline{\mid \:\: of \:\: \mid}}}}}$$\large{ \pink{\mathfrak{ \underline{\overline{\mid \:\: cardboard \:\: \mid}}}}}$$\large{ \pink{\mathfrak{ \underline{\overline{\mid \:\: (ABCD) \:\: \mid}}}}}$$\large{ \pink{\mathfrak{ \underline{\overline{\mid \:\: -\:\: \mid}}}}}$$\large{ \pink{\mathfrak{ \underline{\overline{\mid \:\: area \:\: \mid}}}}}$$\large{ \pink{\mathfrak{ \underline{\overline{\mid \:\: of \:\: \mid}}}}}$$\large{ \pink{\mathfrak{ \underline{\overline{\mid \:\: cardboard \:\: \mid}}}}}$$\large{ \pink{\mathfrak{ \underline{\overline{\mid \:\: (EFGH) \:\: \mid}}}}}$

=(AB×AD)−(EF×EH)

=(19×5)−(14×2)

=95−28

=67 sq cm

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