Question

diagram of the adjacent picture frame has outer dimensions 28cm*24cm and inner dimensions 20cm*16cm. Find the area of shaded part of frame, if width of each section is the same

Answer 1

Heya mate,
Here is your answer,

Let us draw a perpendicular from any side of the inner rectangle to the side of the outer rectangle as shown above. This will give us 4 congruent triangles.
As 24-16 = 8  and 28-20 = 8


Area of the horizontal rectangle = 4 x 16 = 64
Hence, Area of lower horizontal section of the frame = 64 + 8 + 8 = 80 sqcms
Area of the vertical rectangle = 4 x 20 = 80
Hence, Area of One Vertical Section of the frame = 80 + 8 + 8 = 96


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Hope thus helps and is understandable.

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