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Standard VIII

Mathematics

Area of Polygons

In figure, ...

Question

In figure, $D, E$ and $F$ are the mid-points of the sides $B C, C A$ and $A B$ respectively. If $A B = 4.3 c m; B C = 5.6 c m$ and $A C = 3.9 c m$ , then find the perimeter of the following:
(i) $A D E F$ and
(ii) quad. $B D E F$

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Solution

(i) Perimeter of $△ D E F$
$= D E + F E + D F$
$= 2.15 + 2.8 + 1.95 = 6.9 c m$
(ii) Perimeter of quad. $B D E F$
$= B D + D E + E F + F B$
$= 2.8 + 2.15 + 2.8 + 2.15$
$= 9.9 c m$

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In figure, D,E and F are the mid-points of the sides BC,CA and AB respectively. If AB=4.3 cm;BC=5.6 cm and AC=3.9 cm, then find the perimeter of the following:(i) ADEF and(ii) quad. BDEF

(i) Perimeter of △DEF=DE+FE+DF=2.15+2.8+1.95=6.9 cm(ii) Perimeter of quad. BDEF=BD+DE+EF+FB=2.8+2.15+2.8+2.15=9.9 cm

In figure, $D, E$ and $F$ are the mid-points of the sides $B C, C A$ and $A B$ respectively. If $A B = 4.3 c m; B C = 5.6 c m$ and $A C = 3.9 c m$ , then find the perimeter of the following:
(i) $A D E F$ and
(ii) quad. $B D E F$

(i) Perimeter of $△ D E F$
$= D E + F E + D F$
$= 2.15 + 2.8 + 1.95 = 6.9 c m$
(ii) Perimeter of quad. $B D E F$
$= B D + D E + E F + F B$
$= 2.8 + 2.15 + 2.8 + 2.15$
$= 9.9 c m$