Identify the coordinates for point D
1 answer:
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Recall that the major axis is "a + a" or 2a, whilst the minor axis is "b + b" or 2b.
so if the major axis is 30, then a = 15, and if the minor one is 14, b = 7.
![\bf \textit{ellipse, horizontal major axis} \\\\ \cfrac{(x-{{ h}})^2}{{{ a}}^2}+\cfrac{(y-{{ k}})^2}{{{ b}}^2}=1 \qquad \begin{cases} center\ ({{ h}},{{ k}})\\ vertices\ ({{ h}}\pm a, {{ k}}) \end{cases}\\\\ -------------------------------\\\\ \textit{we know that } \begin{cases} a=\frac{30}{2}\\ b=\frac{14}{2}\\ h=-9\\ k=-7 \end{cases}\implies \cfrac{[x-(-9)]^2}{15^2}+\cfrac{[y-(-7)]^2}{7^2}=1 \\\\\\ \cfrac{(x+9)^2}{225}+\cfrac{(y+7)^2}{49}=1](https://tex.z-dn.net/?f=%5Cbf%20%5Ctextit%7Bellipse%2C%20horizontal%20major%20axis%7D%0A%5C%5C%5C%5C%0A%5Ccfrac%7B%28x-%7B%7B%20h%7D%7D%29%5E2%7D%7B%7B%7B%20a%7D%7D%5E2%7D%2B%5Ccfrac%7B%28y-%7B%7B%20k%7D%7D%29%5E2%7D%7B%7B%7B%20b%7D%7D%5E2%7D%3D1%0A%5Cqquad%20%0A%5Cbegin%7Bcases%7D%0Acenter%5C%20%28%7B%7B%20h%7D%7D%2C%7B%7B%20k%7D%7D%29%5C%5C%0Avertices%5C%20%28%7B%7B%20h%7D%7D%5Cpm%20a%2C%20%7B%7B%20k%7D%7D%29%0A%5Cend%7Bcases%7D%5C%5C%5C%5C%0A-------------------------------%5C%5C%5C%5C%0A%5Ctextit%7Bwe%20know%20that%20%7D%0A%5Cbegin%7Bcases%7D%0Aa%3D%5Cfrac%7B30%7D%7B2%7D%5C%5C%0Ab%3D%5Cfrac%7B14%7D%7B2%7D%5C%5C%0Ah%3D-9%5C%5C%0Ak%3D-7%0A%5Cend%7Bcases%7D%5Cimplies%20%5Ccfrac%7B%5Bx-%28-9%29%5D%5E2%7D%7B15%5E2%7D%2B%5Ccfrac%7B%5By-%28-7%29%5D%5E2%7D%7B7%5E2%7D%3D1%0A%5C%5C%5C%5C%5C%5C%0A%5Ccfrac%7B%28x%2B9%29%5E2%7D%7B225%7D%2B%5Ccfrac%7B%28y%2B7%29%5E2%7D%7B49%7D%3D1)
so if the major axis is 30, then a = 15, and if the minor one is 14, b = 7.
Answer:
For grid, Please see attachment area of rectangle.
Explanation:
We are given the area of rectangle is 1,125 square unit whose one side is 25 units.
As we know the formula of area of rectangle
Let 25 units is width of rectangle
Area = 1,125
units
Dimension of rectangle 45 x 25.
Now we draw the grid graph of rectangle.
First we take a grid paper with 1 square unit area of each box. Now we draw line with 45 unit horizontal(Length) and 25 unit vertical (Width).
We make a closed figure with four line opposite side equal and parallel.
Inside box, total number of box must be 1,125 because area of 1 small box 1 square unit.
Total area of all box = 1,125 x 1 = 1,125 square units.
