# What is the dimensions of a rectangle with a perimeter of 26 inches and a area of 42 square inches?

Its dimensions are 6 inches by 7 inches because 2(6+7)=26 inches and 6*7=42 square inches

### Why do the areas of different shapes differ even if their perimeter is same?

A rectangle that's 7 x 1 inches has a perimeter of 16 inches, and its area is 7 square inches. A rectangle that's 5 x 3 inches also has a perimeter of 16 inches, but its area is 15 square inches. A rectangle that's 6 x 2 inches also has a perimeter of 16 inches, but its area is 12 square inches. A square that's 4 inches on each side also has a perimeter of…