Download App

P-1 Linear Equations in Two Variables — Maths STD 10 — Question

Maharashtra BoardEnglish MediumSTD 10MathsP-1 Linear Equations in Two Variables3 Marks
✓

Answer


$\begin{aligned} & \text { Length of rectangle } \Rightarrow 2 x+y+8=4 x-y \\
& \Rightarrow 2 x-4 x+y+y=-8 \\
& \Rightarrow-2 x+2 y=-8 \\
& \Rightarrow-x+y=-4 \ldots \ldots(I)
\end{aligned}$
$\begin{aligned}
& \text { Breadth of the rectangle }=2 y=x+4 \\
& \Rightarrow-x+2 y=4 \ldots . . \text { (II) }
\end{aligned}$
Equating Eq. I and II and change sign of Eq. II
$\begin{gathered}
-x+y=-4 \\
x-2 y=-4 \\
\hline -y=-8 \\
y=8
\end{gathered}$
Substituting $y=8$ in Eq.I
$\begin{aligned}
& -x+8=-4 \\
& -x=-4-8 \\
& -x=-12 \\
& x=12
\end{aligned}$
$\begin{aligned} & \text { Length }=2 \times 12+8+8=40 \\ & \text { Breadth }=2 \times 8=16 \\ & \text { Area }=\text { Length } \times \text { breadth }=40 \times 16=640 \text { sq. unit } \\ & \text { Perimeter }=2 \text { (Length }+ \text { Breadth) }=2(40+16)=2(56)=112 \text { unit. }\end{aligned}$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "3 Marks Question" from P-1 Linear Equations in Two Variables→P-1 Linear Equations in Two Variables — all question types→Maths STD 10 question papers→Maharashtra Board STD 10 question papers→Maharashtra Board question paper generator→

Similar questions

In an equilateral $\triangle\text{ABC},\ \text{AD}\perp\text{BC}$ prove that $AD^2 = 3BD^2$.
→
In a corner of a rectangular field with dimensions 35m × 22m, a well with 14m inside diameter is dug 8m deep. The earth dug out is spread evenly over the remaining part of the field. Find the rise in the level of the field.
→
Prove the following trigonometric identities.
$\sec^6\theta=\tan^6\theta+3\tan^2\theta\sec^2\theta+1$
→
Solve the following simultaneous equations using Cramer’s rule.
4x + 3y – 4 = 0; 6x = 8 – 5y
→
Find the sum of two middle terms of the $\text{A.P.:}-\frac{4}{3},-1,\frac{-2}{3},-\frac{1}{3}, .....\ ,4\frac{1}{3}.$
→
In a quadrilateral $ABCD$, given that $\angle\text{A}+\angle\text{D}=90^\circ.$ Prove that $AC^2 + BD^2 = AD^2 + BC^2$.
→
Find the values of k for which the given quadratic equation has real and distinct roots:
$kx^2 + 6x + 1 = 0$
→
How many multiples of $4$ lie between $10$ and $250$?
→
A girl of heigh 90cm is walking away from the base of a lamp-post at a speed of 1.2m/sec. If the lamp is 3.6m above the ground, find the length of her shadow after 4 seconds.
→
A metallic sphere 1dm in diameter is beaten into a circular sheet of uniform thickness equal to 1mm. Find the radius of the sheet.
→