Question

writing the area of a square is s², where s is the side - length. suppose you have three squares. one square has side - length 8 feet. another square has side - length 5 feet. the third square has side - length 3 feet. is the sum of the areas of the two smaller squares equal to the area of the large square? use pencil and paper. explain your answer. is the sum of the areas of the two smaller squares equal to the area of the large square?
no
yes

Explanation:

Step1: Calculate area of first - small square

The area formula for a square is $A = s^{2}$. For a square with side - length $s_1=5$ feet, $A_1 = 5^{2}=25$ square feet.

Step2: Calculate area of second - small square

For a square with side - length $s_2 = 8$ feet, $A_2=8^{2}=64$ square feet.

Step3: Calculate sum of areas of two small squares

$A_{sum}=A_1 + A_2=25 + 64=89$ square feet.

Step4: Calculate area of third square

For a square with side - length $s_3 = 9$ feet, $A_3=9^{2}=81$ square feet.

Step5: Compare sums

Since $A_{sum}=89$ square feet and $A_3 = 81$ square feet, $A_{sum}
eq A_3$.

Answer:

No