MCQ
In the figure given below, a rectangle of perimeter $76$ units is divided into $7$ congruent rectangles.What is the perimeter of each of the smaller rectangles?
- A$38$
- B$32$
- ✓$28$
- D$19$
✓
Answer
Correct option: C.
$28$
c
(c)
(c)
Given,
Perimeter of rectangle is $76$ units.
Let $x$ and $y$ are sides of each rectangles.
$\therefore$ Perimetre of rectangle $=6 x+5 y=76$
and $\quad 4 x=3 y \quad \ldots (i)$
On solving Eqs.$(i)$ and $(ii)$,we get
$x=6, y=8$
$\therefore$ Perimeter of each rectangle
$=2(x+y)=2(6+8)=28 \text { units }$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
Let $\alpha $ and $\beta $ are roots of $5{x^2} - 3x - 1 = 0$ , then $\left[ {\left( {\alpha + \beta } \right)x - \left( {\frac{{{\alpha ^2} + {\beta ^2}}}{2}} \right){x^2} + \left( {\frac{{{\alpha ^3} + {\beta ^3}}}{3}} \right){x^3} -......} \right]$ is
→Consider a hyperbola $\mathrm{H}$ having centre at the origin and foci and the $\mathrm{x}$-axis. Let $\mathrm{C}_1$ be the circle touching the hyperbola $\mathrm{H}$ and having the centre at the origin. Let $\mathrm{C}_2$ be the circle touching the hyperbola $\mathrm{H}$ at its vertex and having the centre at one of its foci. If areas (in sq. units) of $\mathrm{C}_1$ and $\mathrm{C}_2$ are $36 \pi$ and $4 \pi$, respectively, then the length (in units) of latus rectum of $\mathrm{H}$ is
→The remainder when $3^{37}$ is divided by $80$ , is
→$8-$ digit numbers are formed using the digits $1, 1, 2, 2, 2, 3, 4, 4.$ The number of such numbers in which the odd digits do no occupy odd places, is
→Period of $|\sin 2x|$ is
→If $\frac{{ }^{11} C_1}{2}+\frac{{ }^{11} C_2}{3}+\ldots . .+\frac{{ }^{11} C_9}{10}=\frac{n}{m}$ with $\operatorname{gcd}(n, m)=1$, then $n+m$ is equal to
→Two coins are tossed, what is the sample space?
The equation of the circle whose diameter lies on $2x + 3y = 3$ and $16x - y = 4$ which passes through $(4,6)$ is
→The value of $\left(\frac{-1+i \sqrt{3}}{1-i}\right)^{30}$ is
→The line segment joining the points (-3, -4) and (1, -2) is divided by y-axis in the ratio: