Question

which figure has a greater area? 71 yd 71 yd 61 yd 88 yd

Explanation:

Step1: Calculate the area of the blue square

The formula for the area of a square is \(A = s\times s\), where \(s\) is the side length. For the blue square with \(s = 71\) yd, \(A_{blue}=71\times71 = 5041\) yd².

Step2: Calculate the area of the pink rectangle

The formula for the area of a rectangle is \(A = l\times w\), where \(l\) is the length and \(w\) is the width. For the pink rectangle with \(l = 88\) yd and \(w = 61\) yd, \(A_{pink}=88\times61=5368\) yd².

Step3: Compare the two areas

Compare \(A_{blue}=5041\) yd² and \(A_{pink}=5368\) yd². Since \(5041<5368\).

Answer:

The pink - colored rectangle has a greater area.