Area is length × width: change mixed numbers to fractions, multiply, then simplify. Perimeter is all four sides added, or 2 × (length + width).
areathe space inside a shape, in square units
perimeterthe distance all the way around a shape
mixed numbera whole number and a fraction, like 2 1/2
square unitsthe units area is measured in, like sq ft
Watch for: Adding only two sides for the perimeter. Multiplying the whole numbers and the fractions separately. Writing area in feet instead of square feet.
At home: Measure a table or a book in inches, halves included, and work out its area and the distance around it.
Sample sheet and answer key
Luna's Space Adventure
Grade 5 · Area with fraction and decimal sides · MA.5.GR.2.1
NameDate
Astronaut Luna is exploring a far-off corner of space. Solve each problem to help Luna's mission go smoothly!
Fraction sides
Area is length × width. Perimeter is all four sides added. Write mixed numbers.
AreaPerimeter
AreaPerimeter
Decimal sides
Multiply the sides for the area; add all four for the perimeter.
AreaPerimeter
AreaPerimeter
A garden
Draw the rectangle and label its sides first.
A garden is 1 1/4 yd long and 4 yd wide. How much fence goes all the way around it?
How many square yards of soil cover the same garden?
Grade 5 · Sheet
Luna's Space Adventure
Grade 5 · Area with fraction and decimal sides · MA.5.GR.2.1
Answer key
Astronaut Luna is exploring a far-off corner of space. Solve each problem to help Luna's mission go smoothly!
Fraction sides
Area is length × width. Perimeter is all four sides added. Write mixed numbers.
Area7 sq ydPerimeter11 yd
Area22 1/2 sq ydPerimeter19 yd
Decimal sides
Multiply the sides for the area; add all four for the perimeter.
Area13.8 sq mPerimeter15.2 m
Area6.6 sq cmPerimeter10.6 cm
A garden
Draw the rectangle and label its sides first.
A garden is 1 1/4 yd long and 4 yd wide. How much fence goes all the way around it?10 1/2 yd
How many square yards of soil cover the same garden?5 sq yd
Answer key
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New problems every time, three levels (gentle, core and stretch), themes to pick from, a second page if you want one. Each sheet comes with an answer key and a one-page guide for grown-ups.
