Shadow Figures: Ratios and Area Challenges for 5th Graders

A tall tree casts a shadow that is 15 feet long. If a nearby 5-foot tall person casts a shadow that is 5 feet long, what is the ratio of the height of the tree to the height of the person?

• 4:1

• 2:1

• 5:1

• 3:1

A rectangular garden has a length of 10 meters and a width of 4 meters. If the garden casts a shadow that is similar in shape but 2 times larger, what is the area of the shadow?

• 40 square meters

• 80 square meters

• 120 square meters

• 160 square meters

A statue that is 8 feet tall casts a shadow of 4 feet. If a smaller statue is 2 feet tall, how long will its shadow be?

• 5 feet

• 1 foot

• 2 feet

• 3 feet

A kite is flying at a height of 30 feet and casts a shadow of 20 feet. If another kite is flying at a height of 15 feet, how long will its shadow be?

• 5 feet

• 15 feet

• 25 feet

• 10 feet

A rectangular pool is 12 meters long and 6 meters wide. If the pool casts a shadow that is similar in shape but 1.5 times larger, what is the area of the shadow?

• 72 square meters

• 162 square meters

• 144 square meters

• 108 square meters

A building that is 50 feet tall casts a shadow of 25 feet. If a smaller building is 20 feet tall, how long will its shadow be?

• 10 feet

• 20 feet

• 5 feet

• 15 feet

A 3-foot tall plant casts a shadow of 1.5 feet. If a tree is 12 feet tall, how long will its shadow be?

• 6 feet

• 8 feet

• 10 feet

• 4 feet

A triangular flagpole is 10 feet tall and casts a shadow of 5 feet. If a smaller flagpole is 4 feet tall, how long will its shadow be?

• 3 feet

• 2 feet

• 1 foot

• 5 feet

A rectangular table is 2 meters long and 1 meter wide. If it casts a shadow that is similar in shape but 3 times larger, what is the area of the shadow?

• 4 square meters

• 9 square meters

• 6 square meters

• 12 square meters

A 6-foot tall person casts a shadow of 3 feet. If a child is 4 feet tall, how long will their shadow be?

• 1 foot

• 2 feet

• 3 feet

• 4 feet