Q. 114.3( 201 Votes )
Diagram of the adjacent picture frame has outer dimensions =24 cm × 28 cm and inner dimensions 16 cm × 20 cm. Find the area of each section of the frame, if the width of each section is same.
Here two of given figures (I) and (II) are similar in dimensions.
we know area of trapezium = (1/2) × (sum of parallel sides) × height
And also figures (III) and (IV) are similar in dimensions.
For trapezium I, 2 h = 24 - 16, 2 h = 8, h = 4
Area of figure (I) = Area of trapezium
= 1/2 (a + b) h
= 1/2 (28 + 20) × 4
= 96 cm2
Also Area of figure (II) = 96 cm2
Now Area of figure (III)
= Area of trapezium = = 1/2 (24 + 16) × 4
= 80 cm2
Also Area of figure (IV) = 80 cm2
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