Question

Rectangle A measures 3cm by (8x - 7)cm and rectangle B measures 4cm by (5x + 2)cm. Area of both rectangles is equal. Create the equation and find the value of x.

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Answer 1

Answer:

Equation: 3 (8x - 7) = 4 (5x + 2)

Value of x =7.25 cm

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Area of a rectangle: width x length

Replacing with the values given:

Area A = 3 (8x - 7)

Area B = 4 (5x + 2)

Since both areas are equal:

Area A = Area B  

So:

3 (8x - 7) = 4 (5x + 2)

Solving for x:

24x -21 = 20x+8

24x-20x =8+21

4x =29

x =29/4=7.25 cm

Feel free to ask for more if needed or if you did not understand something.