A square and a rectangle have equal perimeters. If the rectangle is 54 cm by 20 cm, find the area of the square.
Show answer & explanation
Correct answer: C
Explanation
Length of the rectangle = 54 cm
Width of the rectangle = 20 cm
Perimeter of the rectangle = 2(l + b)
Perimeter of the square = 4a
Area of the square = a²
Perimeter of the rectangle = 2(54 + 20) = 2 × 74 = 148
Perimeter of the square = 148
4a = 148
a = 37
Area of the square = 37² = 1369 cm²