Answer:
68 m²
Step-by-step explanation:
The formula for the area of a rectangle is:
Area = Length x Width
Let's put in the numbers we have been given.
A = 14 x 10
Multiply.
A = 140
So, we know the area of the entire rectangle is 140 square meters (m²). To get the area of just the lawn, we need to find the area of the other sections and then subtract them.
Let's first find the area of the flower bed. The formula for the area of a triangle is:
Area =
x Base x Height
Let's put in the numbers we have been given.
A =
x 3 x 8
Multiply.
A = 12 m²
Let's now find the area of the vegetable patch. The formula for the area of a trapezium is:
Area =
x Height x (a + b)
Note that a and b in this formula are the two parallel sides of the trapezium.
Let's put in the numbers we have been given.
A =
x 10 x (5 + 7)
Evaluate.
A = 60 m²
Now we have the area of all three shapes:
Rectangle garden: 140 m²
Triangular flower bed: 12 m²
Trapezoid vegetable patch: 60 m²
Let's now subtract the area of the triangle and trapezoid from the area of the rectangle.
140 - 60 - 12 = 68 m²