Question

what is the area of the shaded region? write your answer as a whole number or a decimal rounded to the nearest hundredth. square feet

Explanation:

Step1: Área del cuadrado grande

$A_{\text{grande}} = (97.1)^2 = 9428.41 \, \text{ft}^2$

Step2: Área del cuadrado pequeño

$A_{\text{pequeño}} = (51.4)^2 = 2641.96 \, \text{ft}^2$

Step3: Área de la región sombreada

$A_{\text{sombreada}} = A_{\text{grande}} - A_{\text{pequeño}} = 9428.41 - 2641.96 = 6786.45 \, \text{ft}^2$

Answer:

6786.45