We included HMH Into Math Grade 6 Answer Key PDF Module 12 Area of Triangles and Special Quadrilaterals to make students experts in learning maths.

NEW AT THE ZOO

A zoo is adding three new cages to its bird exhibit. The floors of the cages will be rectangles with the same perimeters but different areas. The floor plan for one of the cages is shown on the grid.

Draw possible floor plans for the other two cages with the same perimeter.

A. Each unit on the grid represents 5 feet. What is the perimeter of the floor of each cage?
100 feet.

Explanation:
Given each unit is equal to 5 feet.
Then the length of the rectangle is 5+5+5+5+5+5 = 30 feet
Breadth of the rectangle is 5 + 5 + 5 + 5 = 20 feet
Now calculate the perimeter of the rectangle = 2 ( l+b)
Simplify
perimeter of the rectangle is 2 ( 30+20)
= 2 (50)
= 100 feet.

B. Label the floor plan for each cage with its area Turn and Talk

Question 1.
What happens to the floor area of a cage as the difference between the length and width decreases?

Question 2.
What is the largest possible floor area for one of the new cages?

Complete these problems to review prior concepts and skills you will need for this module.

Triangles

Complete each statement.

Question 1.
A triangle that has three acute angles is called a(n) ___________ triangle.
Equilateral triangle.

Explanation:
A triangle that has three acute angles is called an Equilateral triangle.

Question 2.
A triangle that has one obtuse angle is called a(n) __________ triangle.
Obtuse angled triangle

Explanation:
A triangle that has one obtuse angle is called an obtuse angled triangle.

Question 3.
A triangle with a 90° angle is called a(n) __________ triangle.
Right angled triangle.

Explanation:
A triangle with a 90° angle is called a right angled triangle.

Estimate and Find Area

For Problems 4-5, find the area of each rectangle.

Question 4. 60 feet square

Explanation:
The length of the rectangle is 12 feet.
The breadth of the rectangle is 5 feet.
The area of the rectangle is length × breadth
Now simply
= 12 × 5
= 60 feet²

Question 5. Given is the square.
The area of the square is 7.5 × 7.5 = 56.25 cm².

Explanation:
Given the figure is a square
We need to calculate the area of the square
The area of the square is length × breadth
Now simply
= 7.5 × 7.5
= 56.25 cm².

Question 6.
A rectangular swimming pool has a length of 25 meters and a width of 12 meters. Find the area of the pool.
300 m².

Explanation:
Given Length = 25 m,
Width = 12 m
Calculate the area of a rectangle that is length × breadth
Now simply,
Area = 25 × 12
Area of the rectangle = 300 feet².

Question 7.
A high school basketball court is a rectangle with a length of 84 feet and a width of 50 feet. Find the area of the basketball court.
4200 feet².

Explanation:
Given Length = 84 feet,
Width =50 feet
Calculate the area of a rectangle that is length × breadth
Now simply,
Area = 84 × 50
Area of the rectangle = 4200 feet².

Question 8.
Find the area of a rectangular painting that has a length of 7.2 feet and a width of 4.5 feet.