Examples with solutions for Difference of squares: Using quadrilaterals

Exercise #1

The area of a rectangle is equal to (4x+9)(4x9) (4x+9)(4x-9) .

Calculate x.

777999

Video Solution

Answer

±3 \operatorname{\pm}3

Exercise #2

The area of the parallelogram below is 56.

BE is its height.

Calculate x.

x+5x+5x+5x-5x-5x-5AAADDDCCCBBBEEE

Video Solution

Answer

9 9

Exercise #3

The area of the parallelogram is equal to (x+3)(x3) (x+3)(x-3) .

Calculate x.

999333

Video Solution

Answer

±6 \pm6

Exercise #4

The area of the rectangle below is 132.

Calculate x.

2(x-4)2(x-4)2(x-4)2x+82x+82x+8

Video Solution

Answer

±7 \pm7

Exercise #5

The area of the rectangle below is equal to: (3x+4)(3x4) (3x+4)(3x-4) .

Calculate a x.

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Video Solution

Answer

±3 \operatorname{\pm}3

Exercise #6

The area of the rectangle below is equal to (x7)(x+7) (x-7)(x+7) .

Calculate x.

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Video Solution

Answer

±12 \pm12