A rectangle is made up of the equations; For the longer spans: 5x-12y+16 and 5y-4x+20; for the shorter spans: 2x-4y+4 and 3x-2y-12

Initially solve for the longer spans through simultaneous equations;5x-12y+16=5y-4x+20Simplify equation;9x-17y-4=0Repeat for the shorter spans;2x-4y+4=3x-2y-12Simplify equation;x+2y-16=0Make x the subject;x=16-2ySubstitute value for x into the first found equation;9(16-2y)-17y-4=0Expand brackets and simplify;144-18y-17y-4=0140-35y=0Solve to find y;35y=140y=4Substitute y value back into equation to find x value;x=16-2(4)Expand brackets and solve;x=16-8x=8Substitute values for x and y into span length equations to find the spans;Shorter span: 2(8)-4(4)+4=4Longer span: 5(4)-4(8)+20=8Therefore the rectangle dimensions are 8 by 4 (same as x and y values)

BM
Answered by Benedict M. Maths tutor

2488 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

ABCD is a square of side 10 cm. Each side of the square is a tangent to the circle. Work out the total area of the shaded regions in terms of . Give your answer in its simplest form.


How do you divide mixed fractions? e.g. (1(1/5)) / (3/4)


Anna has 6 bananas. Ben has 2.5 times more bananas than Anna. Callum has a third as many bananas as Anna and Ben have together. How many bananas do Anna, Ben and Callum have together?


Find the area of a sector with a radius of 5cm and an angle of 120 degrees?


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences