Testinar Grade 6 math

Finding Area on the Coordinate Plane

Students will build Grade 6 mastery of finding area on the coordinate plane using models, equations, and test-style reasoning.

CH04-05 Geometry

Directions Solve each problem. Show your reasoning on the page or on separate paper. Check the answer key only after finishing.

A rectangle has vertices at \((2,1)\), \((8,1)\), \((8,5)\), and \((2,5)\). What is its area?
1. \(10\) square units
2. \(20\) square units
3. \(24\) square units
4. \(30\) square units
What is the area of the rectangle shown?
1. \(10\) square units
2. \(12\) square units
3. \(16\) square units
4. \(18\) square units
A square is drawn on the coordinate plane with vertices at \((2,2)\), \((8,2)\), \((8,8)\), and \((2,8)\). What is its area?
1. \(24\) square units
2. \(30\) square units
3. \(48\) square units
4. \(36\) square units
A garden plot is rectangular with vertices at \((1,1)\), \((9,1)\), \((9,4)\), and \((1,4)\). What is the area of the garden?
1. \(18\) square units
2. \(21\) square units
3. \(24\) square units
4. \(27\) square units
What is the area of the rectangle with vertices at \((2,1)\), \((8,1)\), \((8,6)\), and \((2,6)\)?
1. \(24\) square units
2. \(30\) square units
3. \(36\) square units
4. \(40\) square units
A rectangle on the coordinate plane has vertices at \((1,1)\), \((7,1)\), \((7,7)\), and \((1,7)\). What is its area?
1. \(24\) square units
2. \(30\) square units
3. \(36\) square units
4. \(42\) square units
What is the area of the shaded rectangle?
1. \(18\) square units
2. \(24\) square units
3. \(28\) square units
4. \(32\) square units
Find the area of the rectangle with vertices at \((3,3)\), \((8,3)\), \((8,8)\), and \((3,8)\).
1. \(20\) square units
2. \(25\) square units
3. \(30\) square units
4. \(35\) square units

Teacher and parent reference

Answer key and explanations

C. \(24\) square units
Length \(=8-2=6\); width \(=5-1=4\). Area \(=6\times4=24\) square units.
B. \(12\) square units
Width: \(7-1=6\) units. Height: \(3-1=2\) units. Area \(=6\times2=12\) square units.
D. \(36\) square units
Side length: \(8-2=6\) units. Area of square \(=6^2=36\) square units.
C. \(24\) square units
Width: \(9-1=8\) units. Height: \(4-1=3\) units. Area \(=8\times3=24\) square units.
B. \(30\) square units
Width: \(8-2=6\) units. Height: \(6-1=5\) units. Area \(=6\times5=30\) square units.
C. \(36\) square units
Width: \(7-1=6\) units. Height: \(7-1=6\) units. Area \(=6\times6=36\) square units.
D. \(32\) square units
Width: \(10-2=8\) units. Height: \(6-2=4\) units. Area \(=8\times4=32\) square units.
B. \(25\) square units
Width: \(8-3=5\) units. Height: \(8-3=5\) units. Area \(=5\times5=25\) square units.