Last updated: October 22, 2026 · Written by the Math Made Easy math teachers
Write the scale as a ratio before you calculate and keep the units attached. Remember that areas depend on the square of the scale, and check each area two ways when you can.
Standards: 7.G.A.1 · Level: Grade 7
Problem 1 Fence Plan Length ★★★
A plan uses the scale 1 in = 5 ft. A wall measures 3 in on the plan. How long is the real wall?
Problem 2 Highway on a Map ★★★
A map scale is 1 in = 30 mi. Two exits are 2.5 in apart on the map. Find the actual distance.
Problem 3 Drawing a Length ★★★
A pool is 40 ft long. How long is it on a drawing with the scale 1 in = 8 ft?
Problem 4 Measure Between Two Towns ★★★
The segment between Dunmore and Pike measures 3.5 in on this map, and the scale is 1 in = 20 mi. Find the actual distance.
Problem 5 Find the Scale ★★★
A 6 in line on a drawing stands for a 9 ft length. Write the scale as 1 in = ? ft, then write the scale factor as a fraction (convert feet to inches).
Problem 6 Blueprint Living Room ★★★
A blueprint uses the scale 14 in = 1 ft. The living room is 6.75 in long on the blueprint. Find its actual length.
Problem 7 Blueprint Kitchen ★★★
A kitchen is 14 ft by 11 ft. Find its dimensions on a blueprint with the scale 14 in = 1 ft.
Problem 8 Trail in Feet ★★★
A trail map has the scale 1 in = 2 mi. The trail is 3.75 in long on the map. How many feet long is the real trail? (1 mi = 5,280 ft)
Problem 9 Scale Table ★★★
Complete the table for the scale 1 in = 12 ft.
Problem 10 Same Wall, Two Drawings ★★★
Drawing A uses 1 in = 4 ft and Drawing B uses 1 in = 10 ft. A wall is 5 in long on Drawing A. How long is it on Drawing B?
Problem 11 Area from a Rectangle Drawing ★★★
The drawing shows a patio at the scale 1 in = 6 ft. Find the actual area.
Problem 12 Garden on Paper ★★★
A garden is 30 ft by 18 ft. It is drawn at the scale 1 in = 6 ft. Find the area of the drawing in square inches.
Problem 13 A Ratio Scale ★★★
A model car is built at the scale 1 : 24. The real car is 15 ft long. How long is the model in inches?
Problem 14 Redraw at a New Scale ★★★
A rectangle is drawn 8 in by 5 in at the scale 1 in = 3 ft. Redraw it at the scale 1 in = 6 ft. Find the new dimensions and compare the two drawing areas.
Problem 15 Classroom Carpet ★★★
A floor plan uses the scale 1 in = 4 ft. The classroom is 7.5 in by 6 in on the plan. Carpet costs $2.80 per square foot. Find the cost to carpet the room.
Problem 16 Road Trip Timing ★★★
On a road map, 1 in = 45 mi. A route measures 4.2 in. At an average speed of 60 mph, how long does the drive take?
Problem 17 Playground Fence ★★★
A playground plan has the scale 1 in = 8 ft. The playground is 5.5 in by 3 in on the plan. Fence costs $9.50 per foot. Find the cost to fence the whole perimeter.
Problem 18 Enlarging a Photo ★★★
A 4 in by 6 in photo is enlarged with scale factor 2.5. Find the new dimensions and how many times as large the area becomes.
Problem 19 Mural Sketches ★★★
A wall mural is 9 ft by 6 ft. An artist sketches it at the scale 1 in = 1.5 ft. A larger sketch uses the scale 1 in = 0.75 ft. How many times the area of the small sketch is the large sketch?
Problem 20 Lake on Two Maps ★★★
On Map A (1 in = 20 mi) a lake is a rectangle 2.5 in by 1.5 in. Find the actual area of the lake. Map B uses 1 in = 50 mi. Find the area of the lake on Map B.
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