Question

1. a) b) c) 4.9 cm 7.9 cm d) 13 10 e) f) 6 2 3 2. a bedroom measures 10 by 11. calculate the area of the bedroom floor. 3. veronica owns a home in the suburbs. her yard is 40 m long by 30 m wide. she wants to fertilize it and finds that one bag of fertilizer can cover 480 m². it costs $24.75/bag. a) how many bags of fertilizer will she need to buy?

Explanation:

Step1: Recall area formulas

For rectangle: $A = l\times w$, for parallelogram: $A = b\times h$, for triangle: $A=\frac{1}{2}\times b\times h$, for trapezoid: $A=\frac{1}{2}(a + b)h$.

Step2: Calculate areas of given shapes

a)

Rectangle with $l = 49$ and $w = 25$, $A=a\times b=49\times25 = 1225$.

b)

Rectangle with $l = 69$ and $w = 43$, $A=a\times b=69\times43=2967$.

c)

Parallelogram with $b = 4.9$ cm and $h = 7.9$ cm, $A=b\times h=4.9\times7.9 = 38.71$ $cm^{2}$.

d)

Triangle with $b = 10$ and $h = 13$, $A=\frac{1}{2}\times b\times h=\frac{1}{2}\times10\times13 = 65$.

e)

Rectangle with $l = 71$ and $w = 25$, $A=a\times b=71\times25=1775$.

f)

Trapezoid with $a = 3$, $b = 6$ and $h = 2$, $A=\frac{1}{2}(a + b)h=\frac{1}{2}(3 + 6)\times2=\frac{1}{2}\times9\times2 = 9$.

Step3: Calculate area of bedroom floor

Bedroom is a rectangle with $l = 11$ feet and $w = 10$ feet, $A=l\times w=10\times11 = 110$ square - feet.

Step4: Calculate area of yard and number of fertilizer bags

Yard is a rectangle with $l = 40$ m and $w = 30$ m. Area of yard $A=l\times w=40\times30=1200$ $m^{2}$.
Number of bags $n=\frac{1200}{480}=2.5$. Since we can't buy half - a - bag, we need to buy 3 bags.

Answer:

a) 1225
b) 2967
c) 38.71 $cm^{2}$
d) 65
e) 1775
f) 9

1. 110 square - feet
2. a) 3 bags