QUESTION 1
The figure is a tra-pezoid.
The area of a trapezoid is given by the formula;
![A=\frac{1}{2}(Sum\:of\:parallel\:sides)\times h](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B2%7D%28Sum%5C%3Aof%5C%3Aparallel%5C%3Asides%29%5Ctimes%20h)
We substitute the values to obtain;
![Area=\frac{1}{2}(13.2cm+8.4cm)\times 6cm](https://tex.z-dn.net/?f=Area%3D%5Cfrac%7B1%7D%7B2%7D%2813.2cm%2B8.4cm%29%5Ctimes%206cm)
![Area=\frac{1}{2}(21.6cm)\times 6cm](https://tex.z-dn.net/?f=Area%3D%5Cfrac%7B1%7D%7B2%7D%2821.6cm%29%5Ctimes%206cm)
![Area=64.8cm^2](https://tex.z-dn.net/?f=Area%3D64.8cm%5E2)
QUESTION 2
The approximate length of the ribbon is equal to the circumference of the circular table cloth.
We can find this by using the formula for calculating the circumference of a circle.
![C=2\pi r](https://tex.z-dn.net/?f=C%3D2%5Cpi%20r)
where
is the radius of the circular table cloth.
We substitute this value and
into the formula to get;
![C=2(3.14)(3.5)ft](https://tex.z-dn.net/?f=C%3D2%283.14%29%283.5%29ft)
![C=21.98ft](https://tex.z-dn.net/?f=C%3D21.98ft)
The approximate length of the ribbon is 22.0ft to the nearest tenth.
QUESTION 3
Type of quadrilateral:Rectangle
Explanation: A rectangle has 4 angles that are right angles.
The two pairs of opposite sides of a rectangle are also congruent.
QUESTION 4.
The circumference of a semi circle is calculated using the formula;
where
is the radius of the semicircle.
QUESTION 5
The area of the entire figure is the area of the semicircle plus the area of the isosceles triangle.
![Area=\frac{1}{2}\pi r^2+\frac{1}{2}bh](https://tex.z-dn.net/?f=Area%3D%5Cfrac%7B1%7D%7B2%7D%5Cpi%20r%5E2%2B%5Cfrac%7B1%7D%7B2%7Dbh)
![Area=\frac{1}{2}\times3.14\times12.5^2+\frac{1}{2}\times25\times 24](https://tex.z-dn.net/?f=Area%3D%5Cfrac%7B1%7D%7B2%7D%5Ctimes3.14%5Ctimes12.5%5E2%2B%5Cfrac%7B1%7D%7B2%7D%5Ctimes25%5Ctimes%2024)
![Area=345.3125+300](https://tex.z-dn.net/?f=Area%3D345.3125%2B300)
![Area=645.3125cm^2](https://tex.z-dn.net/?f=Area%3D645.3125cm%5E2)
![Area\approx645cm^2](https://tex.z-dn.net/?f=Area%5Capprox645cm%5E2)
QUESTION 6
The area of the parallelogram is given by the formula;
![A=bh](https://tex.z-dn.net/?f=A%3Dbh)
From the diagram,
.
Given, A=23.7 inches squared.
We substitute the values to obtain;
![23.7=3y](https://tex.z-dn.net/?f=23.7%3D3y)
![y=\frac{23.7}{3}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B23.7%7D%7B3%7D)
![y=7.9in.](https://tex.z-dn.net/?f=y%3D7.9in.)
QUESTION 7
The area of a rectangle is given by the formula;
![Area=l\times b](https://tex.z-dn.net/?f=Area%3Dl%5Ctimes%20b)
The area of the bigger rectangle ![=9\times15=135in^2](https://tex.z-dn.net/?f=%3D9%5Ctimes15%3D135in%5E2)
The area of the smaller rectangle ![=8\times 13=104in^2](https://tex.z-dn.net/?f=%3D8%5Ctimes%2013%3D104in%5E2)
The area of the shaded region ![=135-104=31in^2](https://tex.z-dn.net/?f=%3D135-104%3D31in%5E2)