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
Answer:
The third side must be smaller than 20 inches and greater than 4 inches
Step-by-step explanation:
Let a, b and c be the lengths of triangle's sides. Then
Use this rule in your case. So, if a=12 and b=8, then
Hence, you get
From these inequalities, you can state that
So, c must be smaller than 20 inches and greater than 4 inches.
Answer: b. Lin buys a pack of 87 pencils. She gives 39 to her teacher and shared the remaining pencils between herself and 3 friends.
Step-by-step explanation:
Lin buys 87 pencils which is why the entire number line adds up to 87.
She gave 39 of these pencils to her teacher which s why there is a section of the number line that is unlike the rest and is 39 in number.
The rest of the number line is a set of 4 spaces which are equal.
Lin shared the remaining pencils between herself and 3 friends which means she shared the pencils with 4 people. These four equal quantities of pencils are the 4 spaces.
