Question

name:
teks 5.4h problems with area
starr math blitz
5th grade
⑤ edgar built a deck in his backyard with a section in the shape of a rectangle and a section in the shape of a square. the model shows the dimensions of his deck in feet.
diagram of deck
what is the area in square feet of the deck edgar built?
⑥ phoebe divided her rectangular vegetable garden into three sections, as shown in the drawing below.
diagram of garden

• the potato section is a square with a side length of 7 meters.
• the carrot section is a square with a side length of 5 meters.
• what is the area, in square meters, of the corn section of phoebe’s garden?

f 10 square meters
g 14 square meters
h 84 square meters
j 35 square meters
⑦ gabriel bought a dog crate shaped like a rectangular prism with the dimensions shown in the model.
diagram of dog crate
what is the area in square inches of the shaded floor of the dog crate?
a 864 square inches
b 1,080 square inches
c 720 square inches
d 1,296 square inches
⑧ priscilla built a cabinet shaped like a rectangular prism.
the length of the base is 9 inches, and the width is 40 inches.
what is the area of the base of the cabinet in square inches?
f 49 square inches
g 360 square inches
h 98 square inches
j not here

Explanation:

Problem 5

Step1: Split deck into rectangle + square

Area of rectangle: $16 \times 6 = 96$ sq ft
Area of square: $8 \times 8 = 64$ sq ft

Step2: Sum the two areas

$96 + 64 = 160$ sq ft

Problem 6

Step1: Find corn section dimensions

Corn length = potato side = 7 m; corn width = carrot side = 5 m

Step2: Calculate corn area

$7 \times 5 = 35$ sq m

Problem 7

Step1: Identify floor dimensions

Floor length = 36 in, width = 24 in

Step2: Compute floor area

$36 \times 24 = 864$ sq in

Problem 8

Step1: Use base length and width

Base length = 9 in, width = 40 in

Step2: Calculate base area

$9 \times 40 = 360$ sq in

Answer:

1. 160 square feet
2. J. 35 square meters
3. A. 864 square inches
4. G. 360 square inches