A square blue rug has a purple square in the center. the side length of the purple square is x inches. the width of the blue band that surrounds the purple square is 10 in. what is the area of the blue? band?

Question

Mathematics

Obie

7 January, 18:06

A square blue rug has a purple square in the center. the side length of the purple square is x inches. the width of the blue band that surrounds the purple square is 10 in. what is the area of the blue? band?

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Madden Stone · Answer 1

The area of the blue band is equal to the area of the rug minus the purple square. The area of the purple square can be expressed as x squared while the area of the rug can be expressed as ten squared or 100 square inches. The area of the blue band can be expressed as 100-x^2.