all of the quadrilaterals in the shape below are squares. find the area of the shaded region. answer attempt…
all of the quadrilaterals in the shape below are squares. find the area of the shaded region. answer attempt 1 out of 2 units² submit answer
Answer
Explanation:
Step1: Find side - length of large square
The side - length of the large square is 7 units, so its area $A_{1}=7\times7 = 49$ square units.
Step2: Find area of non - shaded squares
The side - length of each non - shaded square is 2 units. There are 2 non - shaded squares, and the area of one non - shaded square is $A_{s}=2\times2=4$ square units. The total area of the 2 non - shaded squares is $A_{2}=2\times4 = 8$ square units.
Step3: Calculate shaded area
The area of the shaded region $A = A_{1}-A_{2}$. Substitute $A_{1}=49$ and $A_{2}=8$ into the formula, we get $A=49 - 8=41$ square units.
Answer:
41