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.

Question

Philoid · Accepted Answer

Here two of given figures (I) and (II) are similar in dimensions.

And also figures (III) and (IV) are similar in dimensions.

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