Area Perimeter with Fractions and Decimals

Farmer Bob needs to build a fence for his chickens. The area he wants to build a fence around is 40 feet long and 20 feet wide. How many feet of fence does he need to buy?

• area

• perimeter

• 1/4 x 1/3

• 1/3 ÷ 1/4

• 1/3 - 1/4

• 1/4 + 1/4 + 1/3 + 1/3

A field has a length of 6⅔ yds. and a width of 4¾ yds. What is the area of the field?

• 31 2/3 

• 31 1/3

• 31 3/5

• 31 5/6

What is the AREA of a square with a side length of 4.2 cm?

• 16.8 cm²

• 8.4 cm²

• 16 cm²

• 17.64 cm²

• A

• B

• C

• D

Answer explanation

This was one of the most missed questions across all of fifth grade, so pay close attention! The correct answer is A.

When multiplying mixed numbers we have TWO options for solving.

Option 1: Convert to improper fractions (5 3/4 = 23/4 and 3 1/2 = 7/2 = 14/4), then multiply the fractions 23/4 x 14/4 = 322/16. Simplify, we get 20 2/16.

Option 2: Distributive method.

(5 x 3) + (5 x 1/2) + (3/4 x 3) + (3/4 x 1/2)

(15) + (2 1/2) + (2 1/4) + (3/8)

Either way is complicated, but it appears almost everyone solved by ONLY multiplying the whole numbers together and ONLY multiplying the fractions together. That's missing some big chunks of the floor space!

Jayden's rectangular garden is 5 3/4 feet long and 4 1/2 feet wide. What is the area, in square feet, of the garden?

•  9 4/6 square feet

• 20 2/4 square feet

• 20 3/8 square feet

• 25 7/8 square feet

Hailey wants to buy a rug that is 4 1/2 feet long and 4 1/2 feet wide. What is the area of this rug?

• 9 square feet

• 16 1/4 square feet

• 20 1/4 square feet

• 8 2/4 square feet

Ben draws a rectangle with a width of 2/5 inch and a length of 3/5 inch. What is the area of the rectangle?

• 6/5 square inches

• 5/5 square inches

• 6/25 square inches

• 5/25 square inches

Ben draws a rectangle with a width of 2/5 inch and a length of 3/5 inch. What is the area of the rectangle?

• 6/5 square inches

• 5/5 square inches

• 6/25 square inches

• 5/25 square inches

A rectangle is 3/4 of a foot long and 5/12 of a foot wide. What fraction represents the area of the rectangle?

• 15/48 sq foot

• 8/16 sq ft

• 11/12 sq ft

• 14/12 sq ft