Situation 4. A \( 30-\mathrm{m} \) steel tape is 2 mm too long at \( 20^{\circ} \mathrm{C} \). A rectangular lot was measured with the use of this tape. The sides are recorded as 144.95 m and 113.00 m . The average temperature during the measuremen is \( 30{ }^{\circ} \mathrm{C} \). Use coefficient of expansion of steel tape \( 0.0000116 \mathrm{~m} / \mathrm{m}^{\circ} \mathrm{C} \) What is the true area of the rectangular lot, in \( \mathrm{m}^{\wedge} 2 \) ?

7. En cada ítem, estudiar la posición relativa entre las dos rectas dadas y graficar ambas en un mismo sistema de coordenadas cartesianas. a) \( \left\{\begin{array}{l}x=1-5 \lambda \\ y=2+3 \lambda \\ z=-5+\lambda\end{array}\left\{\begin{array}{l}x=1 \\ y=1 \\ z=\mu\end{array}(\lambda, \mu \in \mathbb{R})\right.\right. \) b) \( \left\{\begin{array}{l}x=3+2 \alpha \\ y=1-\alpha \\ z=5\end{array}\left\{\begin{array}{l}x=-1-6 \beta \\ y=3+3 \beta \\ z=5\end{array} \quad(\alpha, \beta \in \mathbb{R})\right.\right. \)

WJEC June 2017 Q6 The coordinates of the points \( F \) and \( G \) are \( (8,20) \) and \( (-4,10) \) respectively. (a) Calculate the length of the line FG. Express your answer as a surd in its simplest form, \( n \sqrt{m} \).

Find the equation of the straight line perpendicular to FG that passes through the mid point of \( F G \). Express your answer in the form \( a x+b y+c=0 \), where \( a, b \) and \( c \) are integers. Give your answer in its simplest form.

১৯. সামান্তরিকের ক্ষেত্রফল নির্ণয়ের সূত্রটি লেখ।

Вариант 8. № 1. Построить линии, заданные следующими уравнениями: 1) \( x^{2}=1-y^{2} \); 2) \( x=5 ; \) 3) \( 4 y+y^{2}+2 x=0 \) 4) \( y^{2}+4-x^{2}=0 \)