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3 years ago

Fill in the blanks please

Mathematics

1 answer:

ycow [4]3 years ago

6 0

Answer:

Step-by-step explanation:

MNOP is a parallelogram Given

PM // ON opposite sides of parallelogram are parallel

∠ NOM = ∠ONP Alternate angles theorem

MN // OP opposite sides of parallelogram are parallel

∠NOP =∠ MNO Alternate angles theorem

ON = ON common to both triangles ΔOMN & ΔONP

ΔOMN ≅ ΔONP ASA congruent

PM ≅ ON CPCT -Corresponding Part of Congruent triangle

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solmaris [256]

<h3>Solution</h3>

Given :-

Perimeter of rectangle = 72 cm
The length is 3 more than twice the width.

Find :-

Dimensions of rectangle

<h3 /><h3>Explantion</h3>

Using Formula

$\boxed{\underline{\tt{\red{\:(perimeter_{rectang}\:=\:2\times (Length+Width)}}}}$

Let,

Length of Rectangle = x cm
Breadth of Rectangle = y cm

According to question,

==> perimeter of Rectangle = 72

==> 2(x+y) = 72

==> x + y = 72/2

==> x + y = 36_________________(1)

Again,

==> x = 2y + 3

==> x - 2y = 3__________________(2)

Subtract equ(1) & equ(2)

==> y + 2y = 36 - 3

==> 3y = 33

==> y = 33/3

==> y = 11

keep in equ(1)

==> x - 2×11 = 3

==> x = 3 + 22

==> x = 25

<h3>Hence</h3>

Length of Rectangle = 25 cm
Width of Rectangle = 11 cm

<h3 />

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