# Mr Duma

Mr Duma recently inherited a rectangular plot, part of the estate left by his late father. The plot with the following dimensions: Length=2x+1;Width=x-1.

Determine the formula, in terms of x, that best describes the area of the rectangular plot.

He has plans to do the following projects on the plot (rectangle has corner PQRS):

Project A: purchase fencing to enclose three sides of the plot as follows: SP, PQ and QR.

Project B: build a fency wall on the front side, SR.

Project C: construct a paving for a third of the plot.

Find the formula that will be suitable for each of the following projects mentioned above. For each formula, give the reason for your choice.

Determine the formula, in terms of x, that best describes the area of the rectangular plot.

He has plans to do the following projects on the plot (rectangle has corner PQRS):

Project A: purchase fencing to enclose three sides of the plot as follows: SP, PQ and QR.

Project B: build a fency wall on the front side, SR.

Project C: construct a paving for a third of the plot.

Find the formula that will be suitable for each of the following projects mentioned above. For each formula, give the reason for your choice.

**Result**#### You need to know the following knowledge to solve this word math problem:

We encourage you to watch this tutorial video on this math problem: video1

## Related math problems and questions:

- Rectangular cuboid

The rectangular cuboid has a surface area 5334 cm^{2}, and its dimensions are in the ratio 2:4:5. Find the volume of this rectangular cuboid. - Square vs rectangle

Square and rectangle have the same area contents. The length of the rectangle is 9 greater and width 6 less than side of the square. Calculate the side of a square. - A rectangular 3

A rectangular plot of land has an area of 3/2 square kilometers and a length of ¾ kilometer. What is the width of the plot of land? - Trapezoid

Area of trapezoid is 135 cm². Sides a, c and height h are in a ratio 6:4:3. How long are a,c and h? Make calculation... - Garden

The area of a square garden is 2/9 of triangle garden with sides 160 m, 100 m, and 100 m. How many meters of fencing need to fence a square garden? - The length 2

The length of a rectangle is 12y² – 15y + 8 and the width is 7y – 11. Find the area of the rectangle - A map

A map with a scale of 1: 5,000 shows a rectangular field with an area of 18 ha. The length of the field is three times its width. The area of the field on the map is 72 cm square. What is the actual length and width of the field? - Area of garden

If the width of the rectangular garden is decreased by 2 meters and its length is increased by 5 meters, the area of the rectangle will be 0.2 ares larger. If the width and the length of the garden will increase by 3 meters, its original size will increas - Square to rectangle

What is the ratio of the area of a square of side x to the area of a rectangle of a rectangle of width 2 x and length 3 - Rectangular plot

The dimensions of a rectangular plot are (x+1)m and (2x-y)m. If the sum of x and y is 3m and the perimeter of the plot is 36m. Find the area of the diagonal of the plot. - Rectangular field

A rectangular field has a diagonal of length 169m. If the length and width are in the ratio 12:5. Find the dimensions of the field, the perimeter of the field and the area of the field. - Harry

Harry Thomson bought a large land in the shape of a rectangle with a circumference of 90 meters. He divided it into three rectangular plots. The shorter side has all three plots of equal length, their longer sides are three consecutive natural numbers. Fi - Land

Rectangular triangular land has area 30 square meters and 12 meters long leg. How many meters of the fence do you need for fencing this land? - The perimeter 3

The perimeter of a rectangle is 35 cm. The ratio of the length to its width is 3:2. Calculate the dimensions of the rectangle - Square

Suppose the square's sides' length decreases by a 25% decrease in the content area of 28 cm². Determine the side length of the original square. - Rectangle diagonals

It is given a rectangle with an area of 24 cm² a circumference of 20 cm. The length of one side is 2 cm larger than the length of the second side. Calculate the length of the diagonal. Length and width are yet expressed in natural numbers. - Garden

The rectangular garden has dimensions of 27 m and 30 m. Peter and Katka split it in a ratio of 4:5. How many square meters did Katkin measure part of the garden?