Q3. lam going to build a vegetable patch in my garden. Thave decided to make the garden bed 4 m eters long and half as wide. a) Draw a scaled diagram of the patch below and calculate the perimeter. Scale Diagram: Perimeter: b) Idonotlike the sharp edges ofmyvegetable patchsolhave decided to round offeitherendwith asemi- circle, so thatitlooks like the diagram below. Calculate the perimeterofthe garden bed now.Show your working out. 4m c) Ifgarden edging costs $3.79 permeterandIcanonly buyitin fullmeters (ig, roundup to thenext meter) how much will it cost me to edge the vegetable patch? Show yourworking d) Inow need to dig outthe old soil to a depth of 200mm. Calculate the volume ofsoillhave to remove. Show your working out. e) lam going to line this space with weed matting, calculate the surface area of my excavated vegetable patch. Show your working out. f) Finally, Iwillbackfillm ygarden with a mix ofcomposted soiland the excavated soil. Iwilluse a ratio of three parts composted soilto one partexcavated soil. W rite this ratio and then work outhow much composted soil I will need. Show your working out. Ratio: Calculations:

I need to see the work written out please.

We are constructing a box from a piece of paper. The paper is a piece of “ledger-sized paper” which measures 11”x17”.  We will remove a square of size “x” inches from each corner and turn up the edges.A piece of ledger paper is the same size as taping the long sides of two pieces of standard 8.5x11 paper together.   Once we remove the squares of size “x” inches from each corner and turn up the edges, we create a box: Label the dimensions of the newly created box using the variable “x”.   h=h=     w=w=                    l=l=         What is the equation that represents the Volume of the box as a function of the cutsize of the box? V(x)=Vx=      What is the restricted domain of this problem? (That is, what x values "make sense"?)  ≤x≤≤x≤     What is the restricted range of this problem? (That is, what V values "make sense"?)  ≤V(x)≤≤Vx≤   (round to 2 decimal places)   To maximize the volume of the newly created box, how much should be cut from each corner? x=x=  inches What is…

A farmer wants to enclose a rectangular pen with 1,500 feet of fencing. One side of the pen will not need fencing because there is a stone wall running along that edge of the property. Find the dimensions of the pen that will have the greatest area. Make sure to identify a reasonable domain for your independent variable.