Question

Heya Guys!!

Lets test ur Maths skills .. ❤

Question of the day !!

In the adjoining plot of land , all the adjacent sides are at right angles .

Find

a) The perimeter.


b) area


Thnx ❤



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Answer 1

$\text{It \: is \: already \: given \: that \: all \: } \\ \text{ angles \: are \: of \: 90} \degree \: ....... \\ \\ \text{So... \: we \: can \: say \: that \: ......} \\ \text{ABMF \: is \: a \: rectangle \: and \: } \\ \text{MCDE \: is \: also \: a \: rectangle.....}$

$\text{Finding \: all \: side \: of \: the \: adjoining \: plot...}$

BC = 15m + 11m [ as shown in fig.]

»» BC = 26m.

EF = 26m - 10m [ as shown in fig.]

»» EF = 16m.

$\textsf{Perimeter of the adjoining plot}$

P = Sum of all sides

»» P = AB + BC + CD + DE + EF + FA

»» P = ( 26 + 26 + 10 + 11 + 16 + 15 )m.

»» P = 104m.

$\boxed{ \text{Perimeter = 104m.}}$

$\textsf{Area of the adjoining plot}$

$\textsf{Area of ABMF = Lenth \times Breadth}$

$\text{Here.... \: lenght = 26m \: and \: breadth = 15m. }$

»» Area = 26m × 15m

»» Area = 390m²

$\textsf{Area of MCDE = Lenth \times Breadth}$

$\text{Here.... \: lenght = 11m \: and \: breadth = 10m. }$

»» Area = 11m × 10m

»» Area = 110m²

$\boxed{ \text{Area of adjoining plot = Area of ABMF + Area of MCDE}}$

Area of adjoining plot = 390m² + 110m²

»» 500m²

$\boxed{\text {Area = 500m ^{2} }}$