Question

A rectangular picture measures 32 by 28. when the picture is framed, a margin 2cm wide is left all the way round .1: what is the area of the picture without the frame?2:what is the area of the frame3:what is the area of the margin

Answer 1

1) The area of the picture without the frame will be A.

`A=32*28=896cm^2`

So the area without frame is 896 square centimeters.

2) If the frame is 2 cm all around then the length and width increase by 4.

So the length becomes 32+4=36cm and the width becomes 28+4=32.

The area of big rectangle which is the frame is A'.

`A^(\prime)=36*32=1152cm^2`

So the area of the frame is 1152 square centimeters.

3) The area of the margin will be the difference of the area of the frame and area of the picture, so it will be A'-A

`A^(\prime)-A=1152-896=256cm^2`

So the area of the margin is 256 square centimeters.