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
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Answer:w = 10Step-by-step explanation:First we take the two values for the breadth of the rectangleSo:5x – 9 = 3x + 7now we solve this equation as follows:5x – 3x = 9 + 72x = 16x = 8now 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 get5(8) – 9 = 313(8) + 7 = 31now that we have the value for the breadth we can form the following equation:31 × w = 31031w = 310w = 310/31 = 10
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Answer:10Step-by-step explanation:Firstly, we find the value of Xsince 5X-9 and 3X+7 are lenghts5X-9= 3X+75X-3X= 7+92X = 16dividing bothsides by 22X/2= 16/2X = 8Hence,5X-9= 5(8)-9= 40-9 = 313X+7=3(8)+7= 24+7= 31To find the widthArea= lenght×width310= 31×w31w= 310w= 310/31W= 10