Introduction to Area: Tiling Shapes Worksheet

Question 1

A rectangle is covered by 3 rows of square tiles. Each row has 4 tiles. How many square tiles cover the rectangle?

Accepted Answer

The rectangle is covered by 12 square tiles because 3 rows of 4 tiles make 12 tiles in all.

Question 2

A shape is covered with 9 equal square tiles. What is the area of the shape in square units?

Accepted Answer

The area of the shape is 9 square units because 9 equal square tiles cover it.

Question 3

Mia covers a rectangle with square tiles. She leaves spaces between some of the tiles. Has Mia measured the area correctly? Explain.

Accepted Answer

Mia has not measured the area correctly because area tiles should cover the whole shape with no gaps.

Question 4

Count the square units in a shape made of 5 squares in a row and 1 square attached below the middle square. What is the area?

Accepted Answer

The area is 6 square units because the shape has 6 equal squares in all.

Question 5

A book cover is 2 square tiles wide and 6 square tiles long. How many square tiles are needed to cover the book cover?

Accepted Answer

The book cover needs 12 square tiles because 2 groups of 6 tiles make 12 tiles.

Question 6

Two students tile the same rectangle. Leo uses small square tiles, and Ava uses larger square tiles. Will they use the same number of tiles? Explain.

Accepted Answer

They will not use the same number of tiles because smaller tiles take more tiles to cover the same area, and larger tiles take fewer tiles.

Question 7

A rectangle has 4 columns of square tiles and 2 rows of square tiles. What is its area in square units?

Accepted Answer

Its area is 8 square units because 4 tiles in each row for 2 rows makes 8 tiles.

Question 8

A shape is made from 10 equal square tiles. Sam adds 3 more equal square tiles to the shape. What is the new area?

Accepted Answer

The new area is 13 square units because 10 square units plus 3 square units equals 13 square units.

Question 9

Which covers a floor correctly: tiles that overlap each other, tiles with gaps between them, or tiles that touch edge to edge with no gaps or overlaps?

Accepted Answer

Tiles that touch edge to edge with no gaps or overlaps cover the floor correctly.

Question 10

A garden path is tiled with 3 rows of squares. The first row has 5 squares, the second row has 5 squares, and the third row has 5 squares. What is the area of the path?

Accepted Answer

The area of the path is 15 square units because 5 + 5 + 5 equals 15.

Question 11

Count the area of an L-shaped tile pattern with 4 squares going down and 3 squares going across the bottom, where the corner square is shared.

Accepted Answer

The area is 6 square units because there are 4 squares down and 3 squares across, but the corner square is counted only once.

Question 12

A square is covered by 4 rows of tiles. Each row has 4 tiles. What is the area of the square?

Accepted Answer

The area of the square is 16 square units because 4 rows of 4 tiles make 16 tiles.

Question 13

A mat has an area of 18 square units. It is covered by 3 equal rows of square tiles. How many tiles are in each row?

Accepted Answer

There are 6 tiles in each row because 18 square tiles split into 3 equal rows gives 6 tiles in each row.

Question 14

Draw or describe a shape with an area of 8 square units. The shape must be made from equal square tiles.

Accepted Answer

One correct answer is a rectangle with 2 rows and 4 columns of equal square tiles, which has an area of 8 square units.

Question 15

A tiled shape has 2 full rows of 5 square tiles and 1 extra square tile attached to the side. What is the total area?

Accepted Answer

The total area is 11 square units because 2 rows of 5 tiles make 10 tiles, and 1 more tile makes 11.

Introduction to Area: Tiling Shapes

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