Arjun bought a rectangular plot with length x and breadth y and then sold a triangular part of it whose base is y and height is z. Find the area of the remaining part of the plot.
Given that, Arjun bought a rectangular plot whose length is “x” and breadth is “y”.
We know that the formula to find the area of the rectangular plot = Length × Breadth square units.
Substituting Length = x and breadth = y in the area formula we get,
Area of rectangular plot = x × y … (1)
It is also given that, a triangular part with base y and height z is sold.
Using the area of triangle formula, we can write
Area of triangular part = (½) × y × z … (2) [since the area of a triangle = ½ × base × height square units]
Hence, the area of the remaining part of the plot can be computed by subtracting the area of the triangular plot from the area of the rectangular plot.
I.e., Area of the remaining plot = Area of the rectangular plot - Area of triangular plot …(3)
Substituting (1) and (2) in equation (3), we get
Area of the remaining part of the plot = [xy] - [(½) × y × z]
= y[x - (z/2)]
Hence, the area of the remaining part of the plot is y[x - (z/2)] square units.
Related Questions
- The area of a rectangle garden 50m long is 300m2, find the width of the garden.
- Find the length of a side of a square,whose area is equal to the area of the rectangle with sides 240 m and 70 m.
- The length of a rectangle is two times its width. The perimeter of the rectangle is 180 cm. Find the dimensions of the rectangle.
Given that, Arjun bought a rectangular plot whose length is “x” and breadth is “y”.
We know that the formula to find the area of the rectangular plot = Length × Breadth square units.
Substituting Length = x and breadth = y in the area formula we get,
Area of rectangular plot = x × y … (1)
It is also given that, a triangular part with base y and height z is sold.
Using the area of triangle formula, we can write
Area of triangular part = (½) × y × z … (2) [since the area of a triangle = ½ × base × height square units]
Hence, the area of the remaining part of the plot can be computed by subtracting the area of the triangular plot from the area of the rectangular plot.
I.e., Area of the remaining plot = Area of the rectangular plot - Area of triangular plot …(3)
Substituting (1) and (2) in equation (3), we get
Area of the remaining part of the plot = [xy] - [(½) × y × z]
= y[x - (z/2)]
Hence, the area of the remaining part of the plot is y[x - (z/2)] square units.
Related Questions
- The area of a rectangle garden 50m long is 300m2, find the width of the garden.
- Find the length of a side of a square,whose area is equal to the area of the rectangle with sides 240 m and 70 m.
- The length of a rectangle is two times its width. The perimeter of the rectangle is 180 cm. Find the dimensions of the rectangle.
