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David drew this diagram of a picture frame he is going to make. Each square represents 1 square inch. What is the area of the picture​ frame?

David Drew This Diagram Of A Picture Frame He Is Going To Make Each Square Represents 1 Square Inch What Is The Area Of The Picture Frame class=

Sagot :

Answer:

64 in²

Step-by-step explanation:

Find the area of the larger rectangle first, and then minus the area of the smaller rectangle.

The length of the larger rectangle

= 9-3 = 6 in

The width of the larger rectangle

= 17-1 = 16 in

The area of the larger rectangle

= 6×16

= 96 in²

The length of the smaller rectangle

= 8-4 = 4 in

The width of the smaller rectangle

= 13-5 = 8 in

The area of the smaller rectangle

= 4×8

= 32 in²

The area of the picture frame

= 96-32

= 64 in²