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In the secret garden there is a greenhouse that really needs some new covering. This greenhouse is a half-cylinder and its front is a semi-circle. This greenhouse is divided into 6 sections by metal bars that hold the sheeting up. My group measured the radius of the semi-circle and the length of one of the sections. We didn’t have a measuring tape so my group members used their feet. We will call the person who measured the radius person y. and the person who measured the length of the section person x. For one of the sections, person X’s feet fit in there 8.75 times. His foot is 30 cm long. For the radius, person Y’s foot fit in there 7.5 times. His foot was 30.5 cm long. Find the surface area of the greenhouse to see how much sheeting is needed.

Grade: 8th grade
Type of Math: Algebra and Geometry
Careers: Architect, Gardener, and Builder.

There is a tree in the secret garden that has a nail in it. There is a legend that a poor farmer once went to visit the very rich and greedy man that lived in the village to ask for money. After the poor farmer begged and begged, the rich man finally agreed to give the farmer money. The rich man said that he would give the farmer a thousand pounds. Then the farmer said that there was a tree in his garden with a big nail in it. The nail had been there for three years and he had grown quite attached to it. The farmer told the rich man that the tree grew 1.25 feet per year and when the nail which was currently six feet high reached ten feet he would pay him back in full. When would the farmer have to pay the rich man?

In the secret garden, at nine o’ clock in the morning, the sun creates a shadow which is at a 32 degree angle with the wall. If the shadow is 12 feet long, how high is the wall?
N.B. You will have to use trigonometry.

There is a path running around the edge of the garden which needs to be covered in 2cm thick gravel. If a 28 by 21 cm shoebox filled with one inch of gravel weighs two kg, and the shaded area below is the path how many metric tons does she need? NB: 1 metric ton = 1,000,000 grams NB: 2cm = .79in Profession: Landscape Architects Classification: Geometry and Problem Solving Age: Grade 6-10 Standard: Problem Solving



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