A farmer has 60m of fencing with which to construct three sides of a rectangular yard connected to an existing fence.

a) If the width of the yard is x meters and the area inside the yard is A meters squared, write down the rule connecting A and x.

b) Sketch the graph of A against x.

c) Determine the maximum area that can be formed for the yard.

Two sides of a triangle mesure 20cm and 30cm. what is the measure of the third side

During your cycling trip, you and your friends often stayed in hostels. the prices of these are listed below. hostel standard room (price per night) with breakfast (price per night) super sleep hostels £22.45 £28.65 normandy nights £18.55 £25 zzzola hostels £24.50 £30.99 belgian beds £11.20 £18.55 night-time rest days ? £33 what is the range in cost for a single night, including both standard room prices and with breakfast prices?

Solve this system of equations. 12x − 18y = 27 4x − 6y = 10