Question

Rembrandt framed his masterpiece.

The painting by itself is a rectangle with length 20cm and width 16cm.

The painting and frame together form a larger rectangle with length 25cm and width 20cm.

Find the area of the frame.

Assume no overlap between the frame and the painting.
I need help ASAP

Answer 1

$\blue{\bold{\underline{\underline{Answer:}}}}$

$\green{\tt{\therefore{Area\:of\:frame=180\:cm^{2}}}}$

$\orange{\bold{\underline{\underline{Step-by-step\:explanation:}}}}$

$\green{\underline \bold{Given :}} \\ \tt: \implies Length( l_{1}) = 20 \: cm \\ \\ \tt: \implies Width(w_{1}) = 16 \: cm \\ \\ \tt: \implies Length( l_{2}) = 25 \: cm \\ \\ \tt: \implies Width(w_{2}) =20\: cm \\ \\ \red{\underline \bold{To \: Find :}} \\ \tt: \implies Area \: of \: frame = ?$

• According to given question :

$\bold{As \: we \: know \: that} \\ \tt: \implies Area \: of \: painting = l_{1} \times w_{1} \\ \\ \tt: \implies Area \: of \: painting = 20 \times 16 \\ \\ \green{\tt: \implies Area \: of \: painting = 320 \: {cm}^{2} } - - - - - (1)\\ \\ \bold{Similarly} \\ \tt: \implies Area \: of \:painting \: and \: frame \: together = l_{2} \times w_{2} \\ \\ \tt: \implies Area \: of \:painting \: and \: frame \: together =25 \times 20 \\ \\ \green{\tt: \implies Area \: of \:painting \: and \: frame \: together =500 \: {cm}^{2} } - - - - - (2) \\ \\ \bold{For\: area \: of \: frame} \\ \tt: \implies Area \: of \: frame = (2 )- (1) \\ \\ \tt: \implies Area \: of \: frame =500 - 320 \\ \\ \green{\tt: \implies Area \: of \: frame =180 \: {cm}^{2} }$