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GCSE Maths calculator paper question?

Hi, Im not sure how to answer these questions so if anyone can explain what should do, that would be great. The perimeter of a rectangle is 25cm. The length of a rectangle is Xcm (Image of a rectangle with one side longer marked Xcm) (a) Write an expression for the width of the rectangle Id say 2h = 25 – 2x for h = 12.5 – x * Not certified if thats correct. Also, because he says "In terms of X" means it must be: x = 12.5 – H * (b) The area of a rectangle is 38 cm ^ 2. Show that 2x ^ 2 – 25X + 76 = 0 * Not very sure what I should do here. May replace X with my equation above? * (C) Solve the equation in part (b) to find the value of X Giving answer to 2 decimal places. * If all you have to do is solve this quadratic equation, like any other, and give 2 answers for x, then there is no need to do this *

a) 25 = 2x + 2h 2h = 25 – 2x h = 12.5 – Assuming xh is the width and height x (sounds strange, but whatever). b) 38 = h * x 38 = (12.5 – x) * X 38 = 12.5 x – x ^ 2 x ^ 2 – 12.5 x + 38 = 0 2x ^ 2 – 25x + 76 = 0 So I created a second equation for the area: 38 = h * xy replaced with the response a). Basically it is a simultaneous equation. C) Yes, that's what we do. Use the quadratic formula, of course.

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