Question The diagram shows a rectangle. The area of the rectangle is 310 m². Work out the value of w when 5x-9 is the length and 3x+7 is the another length

Answer: w = 10 Step-by-step explanation: First we take the two values for the breadth of the rectangle So: 5x – 9 = 3x + 7 now we solve this equation as follows: 5x – 3x = 9 + 7 2x = 16 x = 8 now that we have found the value for x, we can substitute it in the equation, 5x – 9,or in the equation, 3x + 7. when we substitute x in any of these equations, we get 5(8) – 9 = 31 3(8) + 7 = 31 now that we have the value for the breadth we can form the following equation: 31 × w = 310 31w = 310 w = 310/31 = 10 Log in to Reply

Answer: 10 Step-by-step explanation: Firstly, we find the value of X since 5X-9 and 3X+7 are lenghts 5X-9= 3X+7 5X-3X= 7+9 2X = 16 dividing bothsides by 2 2X/2= 16/2 X = 8 Hence, 5X-9= 5(8)-9= 40-9 = 31 3X+7=3(8)+7= 24+7= 31 To find the width Area= lenght×width 310= 31×w 31w= 310 w= 310/31 W= 10 Log in to Reply

Answer:w = 10Step-by-step explanation:Answer:Step-by-step explanation: