length --- x m
width = (3/4)x m
2x + 2(3/4)x = 420
multiply each term by 4 to get rid of fractions
8x + 6x = 1680
14x =1680
x = 120
(3/4)x = 90
The park is 90 m by 120 m
The Play Park runs between Happy Street and Sad Street. Some drivers are using the park as a short cut. A fencing contractor has been asked to put chains across both ends of the park to stop the cars driving through, but he has not been told how wide the park is. When he rang the council, the girl told him the perimeter was 420 metres and the width was 3/4 of the length but she did not know the actual length. What is the length of chain needed for each end of the park?
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