The Answer To This Question Is : p = 2xl + 2xw p = 2x2+ 2x5 p = 4 + 10 p = 14 !
Perimeter: (length: 5 inches; width: 5 inches) P= (2xL) + (2xW) P= (2x5) + (2x5) P= 10 + 10 P= 20 Area (length: 5 inches; width: 5 inches) A= LxW A= 5 x 5 A= 25
The formula for perimeter is P=2XL+2XW which is Perimeter = 2 X length + 2 X Width. We want to replace L and W with the the numbers 9 and 5. I don't know which is which but lets say the 9 is the length and 5 is the width. So the new number sentence would be P=2X9+2X5. So now it's time to solve. 2X9=18. 2X5=10. 10+18=28. Your perimeter would be 28cm. Hope this helped! :)
First we need to find the side length of the square we cut in order to maximize the volume of the box. Let the side of the square be x.Volume = lwhl = 24 - 2xw = 9 - 2xh = xV = (24 - 2x)(9 - 2x)(x)V = [(24)(9)(x) - (24)(2x)(x) - (2x)(9)(x) - (2x)(-2x)(x)]V = 216x - 48x^2 - 18x^2 + 4x^3V = 216x - 60 x^2 + 4x^3 Take the derivativeV' = 216 - 120x + 12x^2 Make the derivative equal to 00 = 216 - 120x + 12x^20 = 12(18 - 10x + x^2)0 = 18 - 10x + x^2x = [10 ± √[(10^2 - 4(1)(18)]]/2x = (10 ± √28)/2x = (10 ± 2√7)/2x = 5 ± √7 = x = 5 ± 2.6x = 7.6 or x = 2.4 this are critical values, which we substitute into volume equationV = 216(2.4) - 60(2.4^2) + 4(2.4^3) = 228 in^3Thus, the side length of the square we cut is 2.4 in, which also is the height of the box. So,l = 12 - 2(2.4) = 12 - 4.8 = 7.2w = 9 - 2(2.4) = 9 - 4.8 = 4.2Or we can estimate and say that the box will be 7 inches long, 4 inches wide, and 2 inches high.