Question

formula: $a = b \times h$
find the area of each parallelogram.
a.
b.
c.
d.
e.
f.
g.
h.
i.

Explanation:

Step1: Calculate area for a

Use formula \(A = b\times h\). Here \(b = 210.5\space m\), \(h=117.4\space m\).
\(A=210.5\times117.4 = 24712.7\space m^{2}\)

Step2: Calculate area for b

Convert mixed - numbers. \(145\frac{1}{2}=\frac{145\times2 + 1}{2}=145.5\), \(123\frac{1}{3}=\frac{123\times3+1}{3}\approx123.33\).
Use \(A = b\times h\), \(b = 145.5\space ft\), \(h = 123.33\space ft\).
\(A=145.5\times123.33=17944.515\space ft^{2}\)

Step3: Calculate area for c

Use \(A = b\times h\), \(b = 210.3\space cm\), \(h = 175.7\space cm\).
\(A=210.3\times175.7 = 36959.71\space cm^{2}\)

Step4: Calculate area for d

Use \(A = b\times h\), \(b = 193.7\space m\), \(h = 168.3\space m\).
\(A=193.7\times168.3=32609.71\space m^{2}\)

Step5: Calculate area for e

Use \(A = b\times h\), \(b = 324.9\space cm\), \(h = 227.3\space cm\).
\(A=324.9\times227.3 = 73849.77\space cm^{2}\)

Step6: Calculate area for f

Convert mixed - numbers. \(265\frac{1}{2}=265.5\), \(182\frac{1}{2}=182.5\).
Use \(A = b\times h\), \(b = 265.5\space in\), \(h = 182.5\space in\).
\(A=265.5\times182.5 = 48453.75\space in^{2}\)

Step7: Calculate area for g

Use \(A = b\times h\), \(b = 145.6\space m\), \(h = 113.2\space m\).
\(A=145.6\times113.2 = 16481.92\space m^{2}\)

Step8: Calculate area for h

Convert mixed - numbers. \(127\frac{1}{2}=127.5\), \(133\frac{1}{3}=\frac{133\times3 + 1}{3}\approx133.33\).
Use \(A = b\times h\), \(b = 127.5\space ft\), \(h = 133.33\space ft\).
\(A=127.5\times133.33 = 16999.575\space ft^{2}\)

Step9: Calculate area for i

Use \(A = b\times h\), \(b = 710.2\space mm\), \(h = 843.7\space mm\).
\(A=710.2\times843.7=599195.74\space mm^{2}\)

Answer:

a. \(24712.7\space m^{2}\)
b. \(17944.515\space ft^{2}\)
c. \(36959.71\space cm^{2}\)
d. \(32609.71\space m^{2}\)
e. \(73849.77\space cm^{2}\)
f. \(48453.75\space in^{2}\)
g. \(16481.92\space m^{2}\)
h. \(16999.575\space ft^{2}\)
i. \(599195.74\space mm^{2}\)