Question

1. use the given measurements to find the area of each rectangle.

a. 5 ft 2 ft
b. 3 units 3 1/2 units
c. 3 3/4 cm 2 1/4 cm
d. 5/8 in 7/8 in
e. 1 3/8 in 1/4 in
f. 3/4 in 1 1/2 in

Explanation:

Step1: Recall area formula for rectangle

The area formula of a rectangle is $A = l\times w$, where $l$ is the length and $w$ is the width.

Step2: Calculate area for part a

For the rectangle with $l = 5$ ft and $w=2$ ft, $A_a=5\times2 = 10$ square - feet.

Step3: Calculate area for part b

For the rectangle with $l = 3\frac{1}{2}=\frac{7}{2}$ units and $w = 3$ units, $A_b=3\times\frac{7}{2}=\frac{21}{2}=10.5$ square - units.

Step4: Calculate area for part c

For the rectangle with $l = 3\frac{3}{4}=\frac{15}{4}$ cm and $w=2\frac{1}{4}=\frac{9}{4}$ cm, $A_c=\frac{15}{4}\times\frac{9}{4}=\frac{135}{16}=8.4375$ square - cm.

Step5: Calculate area for part d

For the rectangle with $l=\frac{7}{8}$ in and $w=\frac{5}{8}$ in, $A_d=\frac{7}{8}\times\frac{5}{8}=\frac{35}{64}\approx0.547$ square - inches.

Step6: Calculate area for part e

For the rectangle with $l = 1\frac{3}{8}=\frac{11}{8}$ in and $w=\frac{1}{4}$ in, $A_e=\frac{11}{8}\times\frac{1}{4}=\frac{11}{32}\approx0.344$ square - inches.

Step7: Calculate area for part f

For the rectangle with $l = 1\frac{1}{2}=\frac{3}{2}$ in and $w=\frac{3}{4}$ in, $A_f=\frac{3}{2}\times\frac{3}{4}=\frac{9}{8}=1.125$ square - inches.

Answer:

a. 10 square - feet
b. 10.5 square - units
c. 8.4375 square - cm
d. $\frac{35}{64}$ square - inches
e. $\frac{11}{32}$ square - inches
f. $\frac{9}{8}$ square - inches