This handy Math in Focus Grade 3 Workbook Answer Key Chapter 19 Practice 1 Area provides detailed solutions for the textbook questions.
Math in Focus Grade 3 Chapter 19 Practice 1 Answer Key Area
Draw and color two different figures. Use 4 squares (☐) and 2 half-squares (◣) for each figure.
Question 1.
Answer:
Explanation:
Drawings may differ from one to one.
Using the squares in the grid we can draw different shapes.
Use 4 squares (☐) and 2 half-squares (◣) for each figure.
So, to differentiate the full square and half square shade with different colors, and then draw.
The figures are made of square and half-square tiles Write the area of each figure in the table.
Question 2.
Answer:
Explanation:
Area of a square is defined as the number of square units needed to fill a square.
In general, the area is defined as the region occupied inside the boundary of a flat object or 2d figure.
The measurement is done in square units with the standard unit being square meters (m 2).
As, it is mentioned each square 1 unit square and each half square is half square unit.
So, by calculating each 1 square unit and half square units in the figure, we find Area.
In the figure A the area is 7 square units as it has 5 full squares and 4 half squares.
In the figure B the area is 6 square units as it has 6 full squares.
In the figure C the area is 6 square units as it has 6 full squares.
In the figure D the area is 8 square units as it has 7 full squares and 1 half square.
In the figure E the area is 9 square units as it has 7 full squares and 4 half squares.
In the figure F the area is 12 square units as it has 9 full squares and 6 half squares.
Question 3.
Figure _________ and Figure ________ have the same area.
Answer:
Figure B and Figure C have the same area.
Explanation:
In the above table, Figure B and C have the same square units.
So, the Area of B and C is 6 square units.
They has 6 full square.
Question 4.
Figure ________ has the largest area.
Answer:
Figure F has the largest area.
Explanation:
In the above table, when compared with all Figures,
Figure F has the largest area.
So, the Area of F is 12 square units.
It has 9 full square and 3 half squares.
Draw two different figures with the same area on the grid.
Question 5.
Answer:
4 x 3 =12 square units or 3 x 4 square units.
Explanation:
Drawings may differ from one to one, depending upon the number of units used in picture.
In the above grid each square is equal to 1 unit.
The area of drawn pictures in the grid is 12 square units.
In figure A it has 4 units vertically and 3 units horizontally.
So, 4 x 3 =12 square units
In figure B it has 3 units vertically and 4 units horizontally.
3 x 4 =12 square units.
4 x 3 =12 square units or 3 x 4 = 12 square units.
Add squares (☐) or half-squares (◣) to each figure to make its area 7 square units.
Question 6.
Answer:
Area of the figures = 7 square units.
Explanation:
Area of a square is defined as the number of square units needed to fill a square.
As, it is mentioned each square 1 unit square and each half square is half square unit.
So, by calculating each 1 square unit and half square units in the figure, we find Area.
Add 4 full squares to the figure A to make the area as 7 square units.
Add 1 full square and 2 half squares to the figure B to make the area as 7 square units.
Complete. Cut out the triangle tiles. Use all the tiles to make three figures with different areas. Glue them in the spaces below.
Question 7.
Answer:
Explanation:
Area of a square is defined as the number of square units needed to fill a square.
As, it is mentioned each square 1 unit square and each half square is half square unit.
So, by calculating each 1 square unit and half square units in the figure, we find Area.
In figure A the Area is 3 square units, it consists 6 triangles.
In figure B the Area is 4 square units, it consists 8 triangles.
In figure C the Area is 6 square units, it consists 12 triangles.
Question 8.
Which figure has the smallest area? Figure ____________
Answer:
Figure A
Explanation:
As, figure A consists 6 triangles.
So, the Area is 3 square units.
Question 9.
Which figure has the largest area? Figure _____________
Answer:
Figure C
Explanation:
As, figure C consists 12 triangles.
So, the Area is 6 square units.
Question 10.
Order the figures from smallest to largest area.
Answer:
A, B, C
Explanation:
Compare all the figures and arrange them from least to greatest.
As, figure A consists 6 triangles.
So, the Area is 3 square units.
As, figure B consists 8 triangles.
So, the Area is 4 square units.
As, figure C consists 12 triangles.
So, the Area is 6 square units.
