The length of a square is six inches long. Kingsley drew a rectangle with the same area as the square. The length of Kingsley's rectangle is nine inches. What is the perimeter, in inches, of Kingsley's rectangle?

Question

Rocket

Mathematics

2 June, 10:25

The length of a square is six inches long. Kingsley drew a rectangle with the same area as the square. The length of Kingsley's rectangle is nine inches. What is the perimeter, in inches, of Kingsley's rectangle?

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Elliott Huffman · Answer 1

let breadth of rectangle is b

then

area of square = area of rectangle

6 * 6 = l * b = 9 * b

36 = 9b

dividing by 9 both side

36/9 = 9b/9

4 = b

b = 4 inch

so l = 9 inch

perimeter of rectangle = 2 (l + b)

= 2 (9+4)

= 26 inch