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(64)^2-(36)^2=20*?...

`(64)^2`-`(36)^2`=20*?

A

70

B

120

C

180

D

140

Text Solution

AI Generated Solution

The correct Answer is:
To solve the equation \( (64)^2 - (36)^2 = 20 \times ? \), we can follow these steps: ### Step 1: Calculate \( (64)^2 \) and \( (36)^2 \) First, we need to calculate the squares of 64 and 36. \[ (64)^2 = 4096 \] \[ (36)^2 = 1296 \] ### Step 2: Subtract the squares Next, we subtract the square of 36 from the square of 64. \[ 4096 - 1296 = 2800 \] ### Step 3: Set up the equation Now we can set up the equation based on the original problem statement. \[ 2800 = 20 \times ? \] ### Step 4: Solve for \( ? \) To find the value of \( ? \), we divide both sides of the equation by 20. \[ ? = \frac{2800}{20} \] Calculating this gives: \[ ? = 140 \] ### Conclusion Thus, the value of \( ? \) is 140.
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